On the Spectrum of Volterra-Type Integral Operators on Fock–Sobolev Spaces
Abstract We determine the spectrum of the Voltterra-type integral operators %$V_g%$ on the growth type Fock–Sobolev spaces %$\mathcal {F}_{\psi _m}^\infty %$. We also characterized the bounded and compact spectral properties of the operators in terms of function-theoretic properties of the inducing...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mengestie, Tesfa [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer International Publishing 2016 |
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| Übergeordnetes Werk: |
Enthalten in: Complex analysis and operator theory - Cham (ZG) : Springer International Publishing AG, 2007, 11(2016), 6 vom: 23. Dez., Seite 1451-1461 |
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| Übergeordnetes Werk: |
volume:11 ; year:2016 ; number:6 ; day:23 ; month:12 ; pages:1451-1461 |
| Links: |
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| DOI / URN: |
10.1007/s11785-016-0629-1 |
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| Katalog-ID: |
SPR02241858X |
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| 245 | 1 | 0 | |a On the Spectrum of Volterra-Type Integral Operators on Fock–Sobolev Spaces |
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| 520 | |a Abstract We determine the spectrum of the Voltterra-type integral operators %$V_g%$ on the growth type Fock–Sobolev spaces %$\mathcal {F}_{\psi _m}^\infty %$. We also characterized the bounded and compact spectral properties of the operators in terms of function-theoretic properties of the inducing map g. As a means to prove our main results, we first described the spaces in terms of Littlewood–Paley type formula which is interest of its own. | ||
| 650 | 4 | |a Fock–Sobolev spaces |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Weighted Fock spaces |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Spectrum |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Bounded |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Compact |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Volterra-type integral operators |7 (dpeaa)DE-He213 | |
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10.1007/s11785-016-0629-1 doi (DE-627)SPR02241858X (SPR)s11785-016-0629-1-e DE-627 ger DE-627 rakwb eng Mengestie, Tesfa verfasserin aut On the Spectrum of Volterra-Type Integral Operators on Fock–Sobolev Spaces 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing 2016 Abstract We determine the spectrum of the Voltterra-type integral operators %$V_g%$ on the growth type Fock–Sobolev spaces %$\mathcal {F}_{\psi _m}^\infty %$. We also characterized the bounded and compact spectral properties of the operators in terms of function-theoretic properties of the inducing map g. As a means to prove our main results, we first described the spaces in terms of Littlewood–Paley type formula which is interest of its own. Fock–Sobolev spaces (dpeaa)DE-He213 Weighted Fock spaces (dpeaa)DE-He213 Spectrum (dpeaa)DE-He213 Bounded (dpeaa)DE-He213 Compact (dpeaa)DE-He213 Volterra-type integral operators (dpeaa)DE-He213 Enthalten in Complex analysis and operator theory Cham (ZG) : Springer International Publishing AG, 2007 11(2016), 6 vom: 23. Dez., Seite 1451-1461 (DE-627)527571288 (DE-600)2276146-9 1661-8262 nnns volume:11 year:2016 number:6 day:23 month:12 pages:1451-1461 https://dx.doi.org/10.1007/s11785-016-0629-1 lizenzpflichtig 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_101 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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 11 2016 6 23 12 1451-1461 |
| spelling |
10.1007/s11785-016-0629-1 doi (DE-627)SPR02241858X (SPR)s11785-016-0629-1-e DE-627 ger DE-627 rakwb eng Mengestie, Tesfa verfasserin aut On the Spectrum of Volterra-Type Integral Operators on Fock–Sobolev Spaces 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing 2016 Abstract We determine the spectrum of the Voltterra-type integral operators %$V_g%$ on the growth type Fock–Sobolev spaces %$\mathcal {F}_{\psi _m}^\infty %$. We also characterized the bounded and compact spectral properties of the operators in terms of function-theoretic properties of the inducing map g. As a means to prove our main results, we first described the spaces in terms of Littlewood–Paley type formula which is interest of its own. Fock–Sobolev spaces (dpeaa)DE-He213 Weighted Fock spaces (dpeaa)DE-He213 Spectrum (dpeaa)DE-He213 Bounded (dpeaa)DE-He213 Compact (dpeaa)DE-He213 Volterra-type integral operators (dpeaa)DE-He213 Enthalten in Complex analysis and operator theory Cham (ZG) : Springer International Publishing AG, 2007 11(2016), 6 vom: 23. Dez., Seite 1451-1461 (DE-627)527571288 (DE-600)2276146-9 1661-8262 nnns volume:11 year:2016 number:6 day:23 month:12 pages:1451-1461 https://dx.doi.org/10.1007/s11785-016-0629-1 lizenzpflichtig 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_101 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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 11 2016 6 23 12 1451-1461 |
| allfields_unstemmed |
10.1007/s11785-016-0629-1 doi (DE-627)SPR02241858X (SPR)s11785-016-0629-1-e DE-627 ger DE-627 rakwb eng Mengestie, Tesfa verfasserin aut On the Spectrum of Volterra-Type Integral Operators on Fock–Sobolev Spaces 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing 2016 Abstract We determine the spectrum of the Voltterra-type integral operators %$V_g%$ on the growth type Fock–Sobolev spaces %$\mathcal {F}_{\psi _m}^\infty %$. We also characterized the bounded and compact spectral properties of the operators in terms of function-theoretic properties of the inducing map g. As a means to prove our main results, we first described the spaces in terms of Littlewood–Paley type formula which is interest of its own. Fock–Sobolev spaces (dpeaa)DE-He213 Weighted Fock spaces (dpeaa)DE-He213 Spectrum (dpeaa)DE-He213 Bounded (dpeaa)DE-He213 Compact (dpeaa)DE-He213 Volterra-type integral operators (dpeaa)DE-He213 Enthalten in Complex analysis and operator theory Cham (ZG) : Springer International Publishing AG, 2007 11(2016), 6 vom: 23. Dez., Seite 1451-1461 (DE-627)527571288 (DE-600)2276146-9 1661-8262 nnns volume:11 year:2016 number:6 day:23 month:12 pages:1451-1461 https://dx.doi.org/10.1007/s11785-016-0629-1 lizenzpflichtig 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_101 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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 11 2016 6 23 12 1451-1461 |
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10.1007/s11785-016-0629-1 doi (DE-627)SPR02241858X (SPR)s11785-016-0629-1-e DE-627 ger DE-627 rakwb eng Mengestie, Tesfa verfasserin aut On the Spectrum of Volterra-Type Integral Operators on Fock–Sobolev Spaces 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing 2016 Abstract We determine the spectrum of the Voltterra-type integral operators %$V_g%$ on the growth type Fock–Sobolev spaces %$\mathcal {F}_{\psi _m}^\infty %$. We also characterized the bounded and compact spectral properties of the operators in terms of function-theoretic properties of the inducing map g. As a means to prove our main results, we first described the spaces in terms of Littlewood–Paley type formula which is interest of its own. Fock–Sobolev spaces (dpeaa)DE-He213 Weighted Fock spaces (dpeaa)DE-He213 Spectrum (dpeaa)DE-He213 Bounded (dpeaa)DE-He213 Compact (dpeaa)DE-He213 Volterra-type integral operators (dpeaa)DE-He213 Enthalten in Complex analysis and operator theory Cham (ZG) : Springer International Publishing AG, 2007 11(2016), 6 vom: 23. Dez., Seite 1451-1461 (DE-627)527571288 (DE-600)2276146-9 1661-8262 nnns volume:11 year:2016 number:6 day:23 month:12 pages:1451-1461 https://dx.doi.org/10.1007/s11785-016-0629-1 lizenzpflichtig 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_101 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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 11 2016 6 23 12 1451-1461 |
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10.1007/s11785-016-0629-1 doi (DE-627)SPR02241858X (SPR)s11785-016-0629-1-e DE-627 ger DE-627 rakwb eng Mengestie, Tesfa verfasserin aut On the Spectrum of Volterra-Type Integral Operators on Fock–Sobolev Spaces 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing 2016 Abstract We determine the spectrum of the Voltterra-type integral operators %$V_g%$ on the growth type Fock–Sobolev spaces %$\mathcal {F}_{\psi _m}^\infty %$. We also characterized the bounded and compact spectral properties of the operators in terms of function-theoretic properties of the inducing map g. As a means to prove our main results, we first described the spaces in terms of Littlewood–Paley type formula which is interest of its own. Fock–Sobolev spaces (dpeaa)DE-He213 Weighted Fock spaces (dpeaa)DE-He213 Spectrum (dpeaa)DE-He213 Bounded (dpeaa)DE-He213 Compact (dpeaa)DE-He213 Volterra-type integral operators (dpeaa)DE-He213 Enthalten in Complex analysis and operator theory Cham (ZG) : Springer International Publishing AG, 2007 11(2016), 6 vom: 23. Dez., Seite 1451-1461 (DE-627)527571288 (DE-600)2276146-9 1661-8262 nnns volume:11 year:2016 number:6 day:23 month:12 pages:1451-1461 https://dx.doi.org/10.1007/s11785-016-0629-1 lizenzpflichtig 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_101 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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 11 2016 6 23 12 1451-1461 |
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Enthalten in Complex analysis and operator theory 11(2016), 6 vom: 23. Dez., Seite 1451-1461 volume:11 year:2016 number:6 day:23 month:12 pages:1451-1461 |
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Complex analysis and operator theory |
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Mengestie, Tesfa @@aut@@ |
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Mengestie, Tesfa misc Fock–Sobolev spaces misc Weighted Fock spaces misc Spectrum misc Bounded misc Compact misc Volterra-type integral operators On the Spectrum of Volterra-Type Integral Operators on Fock–Sobolev Spaces |
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On the Spectrum of Volterra-Type Integral Operators on Fock–Sobolev Spaces Fock–Sobolev spaces (dpeaa)DE-He213 Weighted Fock spaces (dpeaa)DE-He213 Spectrum (dpeaa)DE-He213 Bounded (dpeaa)DE-He213 Compact (dpeaa)DE-He213 Volterra-type integral operators (dpeaa)DE-He213 |
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on the spectrum of volterra-type integral operators on fock–sobolev spaces |
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On the Spectrum of Volterra-Type Integral Operators on Fock–Sobolev Spaces |
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Abstract We determine the spectrum of the Voltterra-type integral operators %$V_g%$ on the growth type Fock–Sobolev spaces %$\mathcal {F}_{\psi _m}^\infty %$. We also characterized the bounded and compact spectral properties of the operators in terms of function-theoretic properties of the inducing map g. As a means to prove our main results, we first described the spaces in terms of Littlewood–Paley type formula which is interest of its own. © Springer International Publishing 2016 |
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Abstract We determine the spectrum of the Voltterra-type integral operators %$V_g%$ on the growth type Fock–Sobolev spaces %$\mathcal {F}_{\psi _m}^\infty %$. We also characterized the bounded and compact spectral properties of the operators in terms of function-theoretic properties of the inducing map g. As a means to prove our main results, we first described the spaces in terms of Littlewood–Paley type formula which is interest of its own. © Springer International Publishing 2016 |
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Abstract We determine the spectrum of the Voltterra-type integral operators %$V_g%$ on the growth type Fock–Sobolev spaces %$\mathcal {F}_{\psi _m}^\infty %$. We also characterized the bounded and compact spectral properties of the operators in terms of function-theoretic properties of the inducing map g. As a means to prove our main results, we first described the spaces in terms of Littlewood–Paley type formula which is interest of its own. © Springer International Publishing 2016 |
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We also characterized the bounded and compact spectral properties of the operators in terms of function-theoretic properties of the inducing map g. 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