On Radial and Conical Fourier Multipliers
Abstract We investigate connections between radial Fourier multipliers on $ ℝ^{d} $ and certain conical Fourier multipliers on $ ℝ^{d+1} $. As an application we obtain a new weak type endpoint bound for the Bochner–Riesz multipliers associated with the light cone in $ ℝ^{d+1} $, where d≥4, and resul...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Heo, Yaryong [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2010 |
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| Schlagwörter: |
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| Anmerkung: |
© Mathematica Josephina, Inc. 2010 |
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| Übergeordnetes Werk: |
Enthalten in: The journal of geometric analysis - New York, NY : Springer, 1991, 21(2010), 1 vom: 10. Aug., Seite 96-117 |
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| Übergeordnetes Werk: |
volume:21 ; year:2010 ; number:1 ; day:10 ; month:08 ; pages:96-117 |
| Links: |
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| DOI / URN: |
10.1007/s12220-010-9171-y |
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| Katalog-ID: |
SPR025402676 |
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| 100 | 1 | |a Heo, Yaryong |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a On Radial and Conical Fourier Multipliers |
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| 520 | |a Abstract We investigate connections between radial Fourier multipliers on $ ℝ^{d} $ and certain conical Fourier multipliers on $ ℝ^{d+1} $. As an application we obtain a new weak type endpoint bound for the Bochner–Riesz multipliers associated with the light cone in $ ℝ^{d+1} $, where d≥4, and results on characterizations of Lp→Lp,ν inequalities for convolutions with radial kernels. | ||
| 650 | 4 | |a Radial Fourier multipliers |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Cone multiplier |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Weak type estimates |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Nazarov, Fëdor |4 aut | |
| 700 | 1 | |a Seeger, Andreas |4 aut | |
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10.1007/s12220-010-9171-y doi (DE-627)SPR025402676 (SPR)s12220-010-9171-y-e DE-627 ger DE-627 rakwb eng Heo, Yaryong verfasserin aut On Radial and Conical Fourier Multipliers 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Mathematica Josephina, Inc. 2010 Abstract We investigate connections between radial Fourier multipliers on $ ℝ^{d} $ and certain conical Fourier multipliers on $ ℝ^{d+1} $. As an application we obtain a new weak type endpoint bound for the Bochner–Riesz multipliers associated with the light cone in $ ℝ^{d+1} $, where d≥4, and results on characterizations of Lp→Lp,ν inequalities for convolutions with radial kernels. Radial Fourier multipliers (dpeaa)DE-He213 Cone multiplier (dpeaa)DE-He213 Weak type estimates (dpeaa)DE-He213 Nazarov, Fëdor aut Seeger, Andreas aut Enthalten in The journal of geometric analysis New York, NY : Springer, 1991 21(2010), 1 vom: 10. Aug., Seite 96-117 (DE-627)496971867 (DE-600)2199635-0 1559-002X nnns volume:21 year:2010 number:1 day:10 month:08 pages:96-117 https://dx.doi.org/10.1007/s12220-010-9171-y 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_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_4012 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 21 2010 1 10 08 96-117 |
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10.1007/s12220-010-9171-y doi (DE-627)SPR025402676 (SPR)s12220-010-9171-y-e DE-627 ger DE-627 rakwb eng Heo, Yaryong verfasserin aut On Radial and Conical Fourier Multipliers 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Mathematica Josephina, Inc. 2010 Abstract We investigate connections between radial Fourier multipliers on $ ℝ^{d} $ and certain conical Fourier multipliers on $ ℝ^{d+1} $. As an application we obtain a new weak type endpoint bound for the Bochner–Riesz multipliers associated with the light cone in $ ℝ^{d+1} $, where d≥4, and results on characterizations of Lp→Lp,ν inequalities for convolutions with radial kernels. Radial Fourier multipliers (dpeaa)DE-He213 Cone multiplier (dpeaa)DE-He213 Weak type estimates (dpeaa)DE-He213 Nazarov, Fëdor aut Seeger, Andreas aut Enthalten in The journal of geometric analysis New York, NY : Springer, 1991 21(2010), 1 vom: 10. Aug., Seite 96-117 (DE-627)496971867 (DE-600)2199635-0 1559-002X nnns volume:21 year:2010 number:1 day:10 month:08 pages:96-117 https://dx.doi.org/10.1007/s12220-010-9171-y 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_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_4012 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 21 2010 1 10 08 96-117 |
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10.1007/s12220-010-9171-y doi (DE-627)SPR025402676 (SPR)s12220-010-9171-y-e DE-627 ger DE-627 rakwb eng Heo, Yaryong verfasserin aut On Radial and Conical Fourier Multipliers 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Mathematica Josephina, Inc. 2010 Abstract We investigate connections between radial Fourier multipliers on $ ℝ^{d} $ and certain conical Fourier multipliers on $ ℝ^{d+1} $. As an application we obtain a new weak type endpoint bound for the Bochner–Riesz multipliers associated with the light cone in $ ℝ^{d+1} $, where d≥4, and results on characterizations of Lp→Lp,ν inequalities for convolutions with radial kernels. Radial Fourier multipliers (dpeaa)DE-He213 Cone multiplier (dpeaa)DE-He213 Weak type estimates (dpeaa)DE-He213 Nazarov, Fëdor aut Seeger, Andreas aut Enthalten in The journal of geometric analysis New York, NY : Springer, 1991 21(2010), 1 vom: 10. Aug., Seite 96-117 (DE-627)496971867 (DE-600)2199635-0 1559-002X nnns volume:21 year:2010 number:1 day:10 month:08 pages:96-117 https://dx.doi.org/10.1007/s12220-010-9171-y 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_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_4012 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 21 2010 1 10 08 96-117 |
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Heo, Yaryong @@aut@@ Nazarov, Fëdor @@aut@@ Seeger, Andreas @@aut@@ |
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on radial and conical fourier multipliers |
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Abstract We investigate connections between radial Fourier multipliers on $ ℝ^{d} $ and certain conical Fourier multipliers on $ ℝ^{d+1} $. As an application we obtain a new weak type endpoint bound for the Bochner–Riesz multipliers associated with the light cone in $ ℝ^{d+1} $, where d≥4, and results on characterizations of Lp→Lp,ν inequalities for convolutions with radial kernels. © Mathematica Josephina, Inc. 2010 |
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Abstract We investigate connections between radial Fourier multipliers on $ ℝ^{d} $ and certain conical Fourier multipliers on $ ℝ^{d+1} $. As an application we obtain a new weak type endpoint bound for the Bochner–Riesz multipliers associated with the light cone in $ ℝ^{d+1} $, where d≥4, and results on characterizations of Lp→Lp,ν inequalities for convolutions with radial kernels. © Mathematica Josephina, Inc. 2010 |
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Abstract We investigate connections between radial Fourier multipliers on $ ℝ^{d} $ and certain conical Fourier multipliers on $ ℝ^{d+1} $. As an application we obtain a new weak type endpoint bound for the Bochner–Riesz multipliers associated with the light cone in $ ℝ^{d+1} $, where d≥4, and results on characterizations of Lp→Lp,ν inequalities for convolutions with radial kernels. © Mathematica Josephina, Inc. 2010 |
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