General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces
Abstract Given %$E_0, E_1, E, F%$ rearrangement invariant spaces, %$a, \mathrm {b}, \mathrm {b}_0, \mathrm {b}_1%$ slowly varying functions and %$0\le \theta _0<\theta _1\le 1%$, we characterize the interpolation spaces (X¯θ0,b0,E0,X¯θ1,b1,E1,a,FR)θ,b,Eand(X¯θ0,b0,E0,a,FL,X¯θ1,b1,E1)θ,b,E,%$\begi...
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| Autor*in: |
Fernández-Martínez, Pedro [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Mediterranean journal of mathematics - Basel : Birkhäuser, 2004, 19(2022), 4 vom: Aug. |
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| Übergeordnetes Werk: |
volume:19 ; year:2022 ; number:4 ; month:08 |
| Links: |
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| DOI / URN: |
10.1007/s00009-022-02059-6 |
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| Katalog-ID: |
SPR047743808 |
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| 100 | 1 | |a Fernández-Martínez, Pedro |e verfasserin |0 (orcid)0000-0001-8253-2438 |4 aut | |
| 245 | 1 | 0 | |a General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces |
| 264 | 1 | |c 2022 | |
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| 500 | |a © The Author(s) 2022 | ||
| 520 | |a Abstract Given %$E_0, E_1, E, F%$ rearrangement invariant spaces, %$a, \mathrm {b}, \mathrm {b}_0, \mathrm {b}_1%$ slowly varying functions and %$0\le \theta _0<\theta _1\le 1%$, we characterize the interpolation spaces (X¯θ0,b0,E0,X¯θ1,b1,E1,a,FR)θ,b,Eand(X¯θ0,b0,E0,a,FL,X¯θ1,b1,E1)θ,b,E,%$\begin{aligned} ({\overline{X}}_{\theta _0,\mathrm {b}_0,E_0}, {\overline{X}}^{{\mathcal {R}}}_{\theta _1, \mathrm {b}_1,E_1,a,F})_{\theta ,\mathrm {b},E}\quad \text {and}\quad ({\overline{X}}^{{\mathcal {L}}}_{\theta _0, \mathrm {b}_0,E_0,a,F}, {\overline{X}}_{\theta _1,\mathrm {b}_1,E_1})_{\theta ,\mathrm {b},E}, \end{aligned}%$for all possible values of %$\theta \in [0,1]%$. Applications to interpolation identities for grand and small Lebesgue spaces, Gamma spaces and A and B-type spaces are given. | ||
| 650 | 4 | |a Real interpolation |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -functional |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a reiteration theorems |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a slowly varying functions |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a rearrangement invariant spaces |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Signes, Teresa M. |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Mediterranean journal of mathematics |d Basel : Birkhäuser, 2004 |g 19(2022), 4 vom: Aug. |w (DE-627)394566831 |w (DE-600)2160803-9 |x 1660-5454 |7 nnns |
| 773 | 1 | 8 | |g volume:19 |g year:2022 |g number:4 |g month:08 |
| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/s00009-022-02059-6 |z kostenfrei |3 Volltext |
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10.1007/s00009-022-02059-6 doi (DE-627)SPR047743808 (SPR)s00009-022-02059-6-e DE-627 ger DE-627 rakwb eng Fernández-Martínez, Pedro verfasserin (orcid)0000-0001-8253-2438 aut General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Given %$E_0, E_1, E, F%$ rearrangement invariant spaces, %$a, \mathrm {b}, \mathrm {b}_0, \mathrm {b}_1%$ slowly varying functions and %$0\le \theta _0<\theta _1\le 1%$, we characterize the interpolation spaces (X¯θ0,b0,E0,X¯θ1,b1,E1,a,FR)θ,b,Eand(X¯θ0,b0,E0,a,FL,X¯θ1,b1,E1)θ,b,E,%$\begin{aligned} ({\overline{X}}_{\theta _0,\mathrm {b}_0,E_0}, {\overline{X}}^{{\mathcal {R}}}_{\theta _1, \mathrm {b}_1,E_1,a,F})_{\theta ,\mathrm {b},E}\quad \text {and}\quad ({\overline{X}}^{{\mathcal {L}}}_{\theta _0, \mathrm {b}_0,E_0,a,F}, {\overline{X}}_{\theta _1,\mathrm {b}_1,E_1})_{\theta ,\mathrm {b},E}, \end{aligned}%$for all possible values of %$\theta \in [0,1]%$. Applications to interpolation identities for grand and small Lebesgue spaces, Gamma spaces and A and B-type spaces are given. Real interpolation (dpeaa)DE-He213 -functional (dpeaa)DE-He213 reiteration theorems (dpeaa)DE-He213 slowly varying functions (dpeaa)DE-He213 rearrangement invariant spaces (dpeaa)DE-He213 Signes, Teresa M. aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 19(2022), 4 vom: Aug. (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:19 year:2022 number:4 month:08 https://dx.doi.org/10.1007/s00009-022-02059-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 19 2022 4 08 |
| spelling |
10.1007/s00009-022-02059-6 doi (DE-627)SPR047743808 (SPR)s00009-022-02059-6-e DE-627 ger DE-627 rakwb eng Fernández-Martínez, Pedro verfasserin (orcid)0000-0001-8253-2438 aut General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Given %$E_0, E_1, E, F%$ rearrangement invariant spaces, %$a, \mathrm {b}, \mathrm {b}_0, \mathrm {b}_1%$ slowly varying functions and %$0\le \theta _0<\theta _1\le 1%$, we characterize the interpolation spaces (X¯θ0,b0,E0,X¯θ1,b1,E1,a,FR)θ,b,Eand(X¯θ0,b0,E0,a,FL,X¯θ1,b1,E1)θ,b,E,%$\begin{aligned} ({\overline{X}}_{\theta _0,\mathrm {b}_0,E_0}, {\overline{X}}^{{\mathcal {R}}}_{\theta _1, \mathrm {b}_1,E_1,a,F})_{\theta ,\mathrm {b},E}\quad \text {and}\quad ({\overline{X}}^{{\mathcal {L}}}_{\theta _0, \mathrm {b}_0,E_0,a,F}, {\overline{X}}_{\theta _1,\mathrm {b}_1,E_1})_{\theta ,\mathrm {b},E}, \end{aligned}%$for all possible values of %$\theta \in [0,1]%$. Applications to interpolation identities for grand and small Lebesgue spaces, Gamma spaces and A and B-type spaces are given. Real interpolation (dpeaa)DE-He213 -functional (dpeaa)DE-He213 reiteration theorems (dpeaa)DE-He213 slowly varying functions (dpeaa)DE-He213 rearrangement invariant spaces (dpeaa)DE-He213 Signes, Teresa M. aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 19(2022), 4 vom: Aug. (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:19 year:2022 number:4 month:08 https://dx.doi.org/10.1007/s00009-022-02059-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 19 2022 4 08 |
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10.1007/s00009-022-02059-6 doi (DE-627)SPR047743808 (SPR)s00009-022-02059-6-e DE-627 ger DE-627 rakwb eng Fernández-Martínez, Pedro verfasserin (orcid)0000-0001-8253-2438 aut General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Given %$E_0, E_1, E, F%$ rearrangement invariant spaces, %$a, \mathrm {b}, \mathrm {b}_0, \mathrm {b}_1%$ slowly varying functions and %$0\le \theta _0<\theta _1\le 1%$, we characterize the interpolation spaces (X¯θ0,b0,E0,X¯θ1,b1,E1,a,FR)θ,b,Eand(X¯θ0,b0,E0,a,FL,X¯θ1,b1,E1)θ,b,E,%$\begin{aligned} ({\overline{X}}_{\theta _0,\mathrm {b}_0,E_0}, {\overline{X}}^{{\mathcal {R}}}_{\theta _1, \mathrm {b}_1,E_1,a,F})_{\theta ,\mathrm {b},E}\quad \text {and}\quad ({\overline{X}}^{{\mathcal {L}}}_{\theta _0, \mathrm {b}_0,E_0,a,F}, {\overline{X}}_{\theta _1,\mathrm {b}_1,E_1})_{\theta ,\mathrm {b},E}, \end{aligned}%$for all possible values of %$\theta \in [0,1]%$. Applications to interpolation identities for grand and small Lebesgue spaces, Gamma spaces and A and B-type spaces are given. Real interpolation (dpeaa)DE-He213 -functional (dpeaa)DE-He213 reiteration theorems (dpeaa)DE-He213 slowly varying functions (dpeaa)DE-He213 rearrangement invariant spaces (dpeaa)DE-He213 Signes, Teresa M. aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 19(2022), 4 vom: Aug. (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:19 year:2022 number:4 month:08 https://dx.doi.org/10.1007/s00009-022-02059-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 19 2022 4 08 |
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10.1007/s00009-022-02059-6 doi (DE-627)SPR047743808 (SPR)s00009-022-02059-6-e DE-627 ger DE-627 rakwb eng Fernández-Martínez, Pedro verfasserin (orcid)0000-0001-8253-2438 aut General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Given %$E_0, E_1, E, F%$ rearrangement invariant spaces, %$a, \mathrm {b}, \mathrm {b}_0, \mathrm {b}_1%$ slowly varying functions and %$0\le \theta _0<\theta _1\le 1%$, we characterize the interpolation spaces (X¯θ0,b0,E0,X¯θ1,b1,E1,a,FR)θ,b,Eand(X¯θ0,b0,E0,a,FL,X¯θ1,b1,E1)θ,b,E,%$\begin{aligned} ({\overline{X}}_{\theta _0,\mathrm {b}_0,E_0}, {\overline{X}}^{{\mathcal {R}}}_{\theta _1, \mathrm {b}_1,E_1,a,F})_{\theta ,\mathrm {b},E}\quad \text {and}\quad ({\overline{X}}^{{\mathcal {L}}}_{\theta _0, \mathrm {b}_0,E_0,a,F}, {\overline{X}}_{\theta _1,\mathrm {b}_1,E_1})_{\theta ,\mathrm {b},E}, \end{aligned}%$for all possible values of %$\theta \in [0,1]%$. Applications to interpolation identities for grand and small Lebesgue spaces, Gamma spaces and A and B-type spaces are given. Real interpolation (dpeaa)DE-He213 -functional (dpeaa)DE-He213 reiteration theorems (dpeaa)DE-He213 slowly varying functions (dpeaa)DE-He213 rearrangement invariant spaces (dpeaa)DE-He213 Signes, Teresa M. aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 19(2022), 4 vom: Aug. (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:19 year:2022 number:4 month:08 https://dx.doi.org/10.1007/s00009-022-02059-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 19 2022 4 08 |
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10.1007/s00009-022-02059-6 doi (DE-627)SPR047743808 (SPR)s00009-022-02059-6-e DE-627 ger DE-627 rakwb eng Fernández-Martínez, Pedro verfasserin (orcid)0000-0001-8253-2438 aut General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Given %$E_0, E_1, E, F%$ rearrangement invariant spaces, %$a, \mathrm {b}, \mathrm {b}_0, \mathrm {b}_1%$ slowly varying functions and %$0\le \theta _0<\theta _1\le 1%$, we characterize the interpolation spaces (X¯θ0,b0,E0,X¯θ1,b1,E1,a,FR)θ,b,Eand(X¯θ0,b0,E0,a,FL,X¯θ1,b1,E1)θ,b,E,%$\begin{aligned} ({\overline{X}}_{\theta _0,\mathrm {b}_0,E_0}, {\overline{X}}^{{\mathcal {R}}}_{\theta _1, \mathrm {b}_1,E_1,a,F})_{\theta ,\mathrm {b},E}\quad \text {and}\quad ({\overline{X}}^{{\mathcal {L}}}_{\theta _0, \mathrm {b}_0,E_0,a,F}, {\overline{X}}_{\theta _1,\mathrm {b}_1,E_1})_{\theta ,\mathrm {b},E}, \end{aligned}%$for all possible values of %$\theta \in [0,1]%$. Applications to interpolation identities for grand and small Lebesgue spaces, Gamma spaces and A and B-type spaces are given. Real interpolation (dpeaa)DE-He213 -functional (dpeaa)DE-He213 reiteration theorems (dpeaa)DE-He213 slowly varying functions (dpeaa)DE-He213 rearrangement invariant spaces (dpeaa)DE-He213 Signes, Teresa M. aut Enthalten in Mediterranean journal of mathematics Basel : Birkhäuser, 2004 19(2022), 4 vom: Aug. (DE-627)394566831 (DE-600)2160803-9 1660-5454 nnns volume:19 year:2022 number:4 month:08 https://dx.doi.org/10.1007/s00009-022-02059-6 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 19 2022 4 08 |
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Enthalten in Mediterranean journal of mathematics 19(2022), 4 vom: Aug. volume:19 year:2022 number:4 month:08 |
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Enthalten in Mediterranean journal of mathematics 19(2022), 4 vom: Aug. volume:19 year:2022 number:4 month:08 |
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Mediterranean journal of mathematics |
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Fernández-Martínez, Pedro @@aut@@ Signes, Teresa M. @@aut@@ |
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| author |
Fernández-Martínez, Pedro |
| spellingShingle |
Fernández-Martínez, Pedro misc Real interpolation misc -functional misc reiteration theorems misc slowly varying functions misc rearrangement invariant spaces General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces |
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General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces Real interpolation (dpeaa)DE-He213 -functional (dpeaa)DE-He213 reiteration theorems (dpeaa)DE-He213 slowly varying functions (dpeaa)DE-He213 rearrangement invariant spaces (dpeaa)DE-He213 |
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misc Real interpolation misc -functional misc reiteration theorems misc slowly varying functions misc rearrangement invariant spaces |
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misc Real interpolation misc -functional misc reiteration theorems misc slowly varying functions misc rearrangement invariant spaces |
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misc Real interpolation misc -functional misc reiteration theorems misc slowly varying functions misc rearrangement invariant spaces |
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Elektronische Aufsätze Aufsätze Elektronische Ressource |
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General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces |
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General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces |
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Fernández-Martínez, Pedro Signes, Teresa M. |
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Elektronische Aufsätze |
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Fernández-Martínez, Pedro |
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10.1007/s00009-022-02059-6 |
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general reiteration theorems for %${{\mathcal {r}}}%$ and %${{\mathcal {l}}}%$ classes: case of right %${{\mathcal {r}}}%$-spaces and left %${{\mathcal {l}}}%$-spaces |
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General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces |
| abstract |
Abstract Given %$E_0, E_1, E, F%$ rearrangement invariant spaces, %$a, \mathrm {b}, \mathrm {b}_0, \mathrm {b}_1%$ slowly varying functions and %$0\le \theta _0<\theta _1\le 1%$, we characterize the interpolation spaces (X¯θ0,b0,E0,X¯θ1,b1,E1,a,FR)θ,b,Eand(X¯θ0,b0,E0,a,FL,X¯θ1,b1,E1)θ,b,E,%$\begin{aligned} ({\overline{X}}_{\theta _0,\mathrm {b}_0,E_0}, {\overline{X}}^{{\mathcal {R}}}_{\theta _1, \mathrm {b}_1,E_1,a,F})_{\theta ,\mathrm {b},E}\quad \text {and}\quad ({\overline{X}}^{{\mathcal {L}}}_{\theta _0, \mathrm {b}_0,E_0,a,F}, {\overline{X}}_{\theta _1,\mathrm {b}_1,E_1})_{\theta ,\mathrm {b},E}, \end{aligned}%$for all possible values of %$\theta \in [0,1]%$. Applications to interpolation identities for grand and small Lebesgue spaces, Gamma spaces and A and B-type spaces are given. © The Author(s) 2022 |
| abstractGer |
Abstract Given %$E_0, E_1, E, F%$ rearrangement invariant spaces, %$a, \mathrm {b}, \mathrm {b}_0, \mathrm {b}_1%$ slowly varying functions and %$0\le \theta _0<\theta _1\le 1%$, we characterize the interpolation spaces (X¯θ0,b0,E0,X¯θ1,b1,E1,a,FR)θ,b,Eand(X¯θ0,b0,E0,a,FL,X¯θ1,b1,E1)θ,b,E,%$\begin{aligned} ({\overline{X}}_{\theta _0,\mathrm {b}_0,E_0}, {\overline{X}}^{{\mathcal {R}}}_{\theta _1, \mathrm {b}_1,E_1,a,F})_{\theta ,\mathrm {b},E}\quad \text {and}\quad ({\overline{X}}^{{\mathcal {L}}}_{\theta _0, \mathrm {b}_0,E_0,a,F}, {\overline{X}}_{\theta _1,\mathrm {b}_1,E_1})_{\theta ,\mathrm {b},E}, \end{aligned}%$for all possible values of %$\theta \in [0,1]%$. Applications to interpolation identities for grand and small Lebesgue spaces, Gamma spaces and A and B-type spaces are given. © The Author(s) 2022 |
| abstract_unstemmed |
Abstract Given %$E_0, E_1, E, F%$ rearrangement invariant spaces, %$a, \mathrm {b}, \mathrm {b}_0, \mathrm {b}_1%$ slowly varying functions and %$0\le \theta _0<\theta _1\le 1%$, we characterize the interpolation spaces (X¯θ0,b0,E0,X¯θ1,b1,E1,a,FR)θ,b,Eand(X¯θ0,b0,E0,a,FL,X¯θ1,b1,E1)θ,b,E,%$\begin{aligned} ({\overline{X}}_{\theta _0,\mathrm {b}_0,E_0}, {\overline{X}}^{{\mathcal {R}}}_{\theta _1, \mathrm {b}_1,E_1,a,F})_{\theta ,\mathrm {b},E}\quad \text {and}\quad ({\overline{X}}^{{\mathcal {L}}}_{\theta _0, \mathrm {b}_0,E_0,a,F}, {\overline{X}}_{\theta _1,\mathrm {b}_1,E_1})_{\theta ,\mathrm {b},E}, \end{aligned}%$for all possible values of %$\theta \in [0,1]%$. Applications to interpolation identities for grand and small Lebesgue spaces, Gamma spaces and A and B-type spaces are given. © The Author(s) 2022 |
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| title_short |
General Reiteration Theorems for %${{\mathcal {R}}}%$ and %${{\mathcal {L}}}%$ Classes: Case of Right %${{\mathcal {R}}}%$-Spaces and Left %${{\mathcal {L}}}%$-Spaces |
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https://dx.doi.org/10.1007/s00009-022-02059-6 |
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Signes, Teresa M. |
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| doi_str |
10.1007/s00009-022-02059-6 |
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2024-07-03T14:42:22.535Z |
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| score |
7.3986073 |