Riesz transforms and multipliers for the Bessel-Grushin operator

Abstract We establish that the spectral multiplier %$m({G_\alpha })%$ associated to the differential operator %$, which we call the Bessel-Grushin operator, is of weak type (1, 1) provided that M is in a suitable local Sobolev space. In order to do this, we prove a suitable weighted Plancherel estim...
Ausführliche Beschreibung

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Autor*in:	Almeida, Victor [verfasserIn] Betancor, Jorge J. Castro, Alejandro J. Sadarangani, Kishin

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2016

Schlagwörter:	Fourier Multiplier Multiplier Theorem Laguerre Function Bessel Operator Imaginary Power

Anmerkung:	© Hebrew University Magnes Press 2016

Übergeordnetes Werk:	Enthalten in: Journal d'analyse mathématique - Berlin : Springer, 1951, 128(2016), 1 vom: Feb., Seite 51-106
Übergeordnetes Werk:	volume:128 ; year:2016 ; number:1 ; month:02 ; pages:51-106

Links:	Volltext

DOI / URN:	10.1007/s11854-016-0002-3

Katalog-ID:	SPR022811125

Internformat


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100	1		\|a Almeida, Victor \|e verfasserin \|4 aut
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520			\|a Abstract We establish that the spectral multiplier %$m({G_\alpha })%$ associated to the differential operator %$, which we call the Bessel-Grushin operator, is of weak type (1, 1) provided that M is in a suitable local Sobolev space. In order to do this, we prove a suitable weighted Plancherel estimate. Also, we study Lp-boundedness properties of Riesz transforms associated to %${G_\alpha }%$ in the case n = 1.
650		4	\|a Fourier Multiplier \|7 (dpeaa)DE-He213
650		4	\|a Multiplier Theorem \|7 (dpeaa)DE-He213
650		4	\|a Laguerre Function \|7 (dpeaa)DE-He213
650		4	\|a Bessel Operator \|7 (dpeaa)DE-He213
650		4	\|a Imaginary Power \|7 (dpeaa)DE-He213
700	1		\|a Betancor, Jorge J. \|4 aut
700	1		\|a Castro, Alejandro J. \|4 aut
700	1		\|a Sadarangani, Kishin \|4 aut
773	0	8	\|i Enthalten in \|t Journal d'analyse mathématique \|d Berlin : Springer, 1951 \|g 128(2016), 1 vom: Feb., Seite 51-106 \|w (DE-627)53027728X \|w (DE-600)2316542-X \|x 1565-8538 \|7 nnns
773	1	8	\|g volume:128 \|g year:2016 \|g number:1 \|g month:02 \|g pages:51-106
856	4	0	\|u https://dx.doi.org/10.1007/s11854-016-0002-3 \|z lizenzpflichtig \|3 Volltext
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912			\|a GBV_ILN_20
912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2070
912			\|a GBV_ILN_2086
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2116
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2119
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4328
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4700
951			\|a AR
952			\|d 128 \|j 2016 \|e 1 \|c 02 \|h 51-106

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matchkey_str	article:15658538:2016----::istasomadutpirfrhbseg
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publishDate	2016
allfields	10.1007/s11854-016-0002-3 doi (DE-627)SPR022811125 (SPR)s11854-016-0002-3-e DE-627 ger DE-627 rakwb eng Almeida, Victor verfasserin aut Riesz transforms and multipliers for the Bessel-Grushin operator 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2016 Abstract We establish that the spectral multiplier %$m({G_\alpha })%$ associated to the differential operator %$, which we call the Bessel-Grushin operator, is of weak type (1, 1) provided that M is in a suitable local Sobolev space. In order to do this, we prove a suitable weighted Plancherel estimate. Also, we study Lp-boundedness properties of Riesz transforms associated to %${G_\alpha }%$ in the case n = 1. Fourier Multiplier (dpeaa)DE-He213 Multiplier Theorem (dpeaa)DE-He213 Laguerre Function (dpeaa)DE-He213 Bessel Operator (dpeaa)DE-He213 Imaginary Power (dpeaa)DE-He213 Betancor, Jorge J. aut Castro, Alejandro J. aut Sadarangani, Kishin aut Enthalten in Journal d'analyse mathématique Berlin : Springer, 1951 128(2016), 1 vom: Feb., Seite 51-106 (DE-627)53027728X (DE-600)2316542-X 1565-8538 nnns volume:128 year:2016 number:1 month:02 pages:51-106 https://dx.doi.org/10.1007/s11854-016-0002-3 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 128 2016 1 02 51-106
spelling	10.1007/s11854-016-0002-3 doi (DE-627)SPR022811125 (SPR)s11854-016-0002-3-e DE-627 ger DE-627 rakwb eng Almeida, Victor verfasserin aut Riesz transforms and multipliers for the Bessel-Grushin operator 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2016 Abstract We establish that the spectral multiplier %$m({G_\alpha })%$ associated to the differential operator %$, which we call the Bessel-Grushin operator, is of weak type (1, 1) provided that M is in a suitable local Sobolev space. In order to do this, we prove a suitable weighted Plancherel estimate. Also, we study Lp-boundedness properties of Riesz transforms associated to %${G_\alpha }%$ in the case n = 1. Fourier Multiplier (dpeaa)DE-He213 Multiplier Theorem (dpeaa)DE-He213 Laguerre Function (dpeaa)DE-He213 Bessel Operator (dpeaa)DE-He213 Imaginary Power (dpeaa)DE-He213 Betancor, Jorge J. aut Castro, Alejandro J. aut Sadarangani, Kishin aut Enthalten in Journal d'analyse mathématique Berlin : Springer, 1951 128(2016), 1 vom: Feb., Seite 51-106 (DE-627)53027728X (DE-600)2316542-X 1565-8538 nnns volume:128 year:2016 number:1 month:02 pages:51-106 https://dx.doi.org/10.1007/s11854-016-0002-3 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 128 2016 1 02 51-106
allfields_unstemmed	10.1007/s11854-016-0002-3 doi (DE-627)SPR022811125 (SPR)s11854-016-0002-3-e DE-627 ger DE-627 rakwb eng Almeida, Victor verfasserin aut Riesz transforms and multipliers for the Bessel-Grushin operator 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2016 Abstract We establish that the spectral multiplier %$m({G_\alpha })%$ associated to the differential operator %$, which we call the Bessel-Grushin operator, is of weak type (1, 1) provided that M is in a suitable local Sobolev space. In order to do this, we prove a suitable weighted Plancherel estimate. Also, we study Lp-boundedness properties of Riesz transforms associated to %${G_\alpha }%$ in the case n = 1. Fourier Multiplier (dpeaa)DE-He213 Multiplier Theorem (dpeaa)DE-He213 Laguerre Function (dpeaa)DE-He213 Bessel Operator (dpeaa)DE-He213 Imaginary Power (dpeaa)DE-He213 Betancor, Jorge J. aut Castro, Alejandro J. aut Sadarangani, Kishin aut Enthalten in Journal d'analyse mathématique Berlin : Springer, 1951 128(2016), 1 vom: Feb., Seite 51-106 (DE-627)53027728X (DE-600)2316542-X 1565-8538 nnns volume:128 year:2016 number:1 month:02 pages:51-106 https://dx.doi.org/10.1007/s11854-016-0002-3 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 128 2016 1 02 51-106
allfieldsGer	10.1007/s11854-016-0002-3 doi (DE-627)SPR022811125 (SPR)s11854-016-0002-3-e DE-627 ger DE-627 rakwb eng Almeida, Victor verfasserin aut Riesz transforms and multipliers for the Bessel-Grushin operator 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2016 Abstract We establish that the spectral multiplier %$m({G_\alpha })%$ associated to the differential operator %$, which we call the Bessel-Grushin operator, is of weak type (1, 1) provided that M is in a suitable local Sobolev space. In order to do this, we prove a suitable weighted Plancherel estimate. Also, we study Lp-boundedness properties of Riesz transforms associated to %${G_\alpha }%$ in the case n = 1. Fourier Multiplier (dpeaa)DE-He213 Multiplier Theorem (dpeaa)DE-He213 Laguerre Function (dpeaa)DE-He213 Bessel Operator (dpeaa)DE-He213 Imaginary Power (dpeaa)DE-He213 Betancor, Jorge J. aut Castro, Alejandro J. aut Sadarangani, Kishin aut Enthalten in Journal d'analyse mathématique Berlin : Springer, 1951 128(2016), 1 vom: Feb., Seite 51-106 (DE-627)53027728X (DE-600)2316542-X 1565-8538 nnns volume:128 year:2016 number:1 month:02 pages:51-106 https://dx.doi.org/10.1007/s11854-016-0002-3 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 128 2016 1 02 51-106
allfieldsSound	10.1007/s11854-016-0002-3 doi (DE-627)SPR022811125 (SPR)s11854-016-0002-3-e DE-627 ger DE-627 rakwb eng Almeida, Victor verfasserin aut Riesz transforms and multipliers for the Bessel-Grushin operator 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2016 Abstract We establish that the spectral multiplier %$m({G_\alpha })%$ associated to the differential operator %$, which we call the Bessel-Grushin operator, is of weak type (1, 1) provided that M is in a suitable local Sobolev space. In order to do this, we prove a suitable weighted Plancherel estimate. Also, we study Lp-boundedness properties of Riesz transforms associated to %${G_\alpha }%$ in the case n = 1. Fourier Multiplier (dpeaa)DE-He213 Multiplier Theorem (dpeaa)DE-He213 Laguerre Function (dpeaa)DE-He213 Bessel Operator (dpeaa)DE-He213 Imaginary Power (dpeaa)DE-He213 Betancor, Jorge J. aut Castro, Alejandro J. aut Sadarangani, Kishin aut Enthalten in Journal d'analyse mathématique Berlin : Springer, 1951 128(2016), 1 vom: Feb., Seite 51-106 (DE-627)53027728X (DE-600)2316542-X 1565-8538 nnns volume:128 year:2016 number:1 month:02 pages:51-106 https://dx.doi.org/10.1007/s11854-016-0002-3 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 128 2016 1 02 51-106
language	English
source	Enthalten in Journal d'analyse mathématique 128(2016), 1 vom: Feb., Seite 51-106 volume:128 year:2016 number:1 month:02 pages:51-106
sourceStr	Enthalten in Journal d'analyse mathématique 128(2016), 1 vom: Feb., Seite 51-106 volume:128 year:2016 number:1 month:02 pages:51-106
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Fourier Multiplier Multiplier Theorem Laguerre Function Bessel Operator Imaginary Power
isfreeaccess_bool	false
container_title	Journal d'analyse mathématique
authorswithroles_txt_mv	Almeida, Victor @@aut@@ Betancor, Jorge J. @@aut@@ Castro, Alejandro J. @@aut@@ Sadarangani, Kishin @@aut@@
publishDateDaySort_date	2016-02-01T00:00:00Z
hierarchy_top_id	53027728X
id	SPR022811125
language_de	englisch
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author	Almeida, Victor
spellingShingle	Almeida, Victor misc Fourier Multiplier misc Multiplier Theorem misc Laguerre Function misc Bessel Operator misc Imaginary Power Riesz transforms and multipliers for the Bessel-Grushin operator
authorStr	Almeida, Victor
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topic_title	Riesz transforms and multipliers for the Bessel-Grushin operator Fourier Multiplier (dpeaa)DE-He213 Multiplier Theorem (dpeaa)DE-He213 Laguerre Function (dpeaa)DE-He213 Bessel Operator (dpeaa)DE-He213 Imaginary Power (dpeaa)DE-He213
topic	misc Fourier Multiplier misc Multiplier Theorem misc Laguerre Function misc Bessel Operator misc Imaginary Power
topic_unstemmed	misc Fourier Multiplier misc Multiplier Theorem misc Laguerre Function misc Bessel Operator misc Imaginary Power
topic_browse	misc Fourier Multiplier misc Multiplier Theorem misc Laguerre Function misc Bessel Operator misc Imaginary Power
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Riesz transforms and multipliers for the Bessel-Grushin operator
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title_full	Riesz transforms and multipliers for the Bessel-Grushin operator
author_sort	Almeida, Victor
journal	Journal d'analyse mathématique
journalStr	Journal d'analyse mathématique
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author_browse	Almeida, Victor Betancor, Jorge J. Castro, Alejandro J. Sadarangani, Kishin
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format_se	Elektronische Aufsätze
author-letter	Almeida, Victor
doi_str_mv	10.1007/s11854-016-0002-3
title_sort	riesz transforms and multipliers for the bessel-grushin operator
title_auth	Riesz transforms and multipliers for the Bessel-Grushin operator
abstract	Abstract We establish that the spectral multiplier %$m({G_\alpha })%$ associated to the differential operator %$, which we call the Bessel-Grushin operator, is of weak type (1, 1) provided that M is in a suitable local Sobolev space. In order to do this, we prove a suitable weighted Plancherel estimate. Also, we study Lp-boundedness properties of Riesz transforms associated to %${G_\alpha }%$ in the case n = 1. © Hebrew University Magnes Press 2016
abstractGer	Abstract We establish that the spectral multiplier %$m({G_\alpha })%$ associated to the differential operator %$, which we call the Bessel-Grushin operator, is of weak type (1, 1) provided that M is in a suitable local Sobolev space. In order to do this, we prove a suitable weighted Plancherel estimate. Also, we study Lp-boundedness properties of Riesz transforms associated to %${G_\alpha }%$ in the case n = 1. © Hebrew University Magnes Press 2016
abstract_unstemmed	Abstract We establish that the spectral multiplier %$m({G_\alpha })%$ associated to the differential operator %$, which we call the Bessel-Grushin operator, is of weak type (1, 1) provided that M is in a suitable local Sobolev space. In order to do this, we prove a suitable weighted Plancherel estimate. Also, we study Lp-boundedness properties of Riesz transforms associated to %${G_\alpha }%$ in the case n = 1. © Hebrew University Magnes Press 2016
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title_short	Riesz transforms and multipliers for the Bessel-Grushin operator
url	https://dx.doi.org/10.1007/s11854-016-0002-3
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author2	Betancor, Jorge J. Castro, Alejandro J. Sadarangani, Kishin
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doi_str	10.1007/s11854-016-0002-3
up_date	2024-07-03T15:01:14.059Z
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