On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates

Abstract We prove that the existence of a Mihlin-Hörmander functional calculus for an operator L implies the boundedness on %$L^p%$ of both the maximal multiplier operators and the continuous square functions build on spectral multipliers of L. The considered multiplier functions are finitely smooth...
Ausführliche Beschreibung

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Autor*in:	Wróbel, Błażej [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2016

Schlagwörter:	Maximal multiplier Square function Spectral multiplier

Anmerkung:	© The Author(s) 2016

Übergeordnetes Werk:	Enthalten in: Mathematische Zeitschrift - Berlin : Springer, 1918, 287(2016), 1-2 vom: 29. Nov., Seite 143-153
Übergeordnetes Werk:	volume:287 ; year:2016 ; number:1-2 ; day:29 ; month:11 ; pages:143-153

Links:	Volltext

DOI / URN:	10.1007/s00209-016-1820-9

Katalog-ID:	SPR001931091

Internformat


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245	1	0	\|a On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates
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520			\|a Abstract We prove that the existence of a Mihlin-Hörmander functional calculus for an operator L implies the boundedness on %$L^p%$ of both the maximal multiplier operators and the continuous square functions build on spectral multipliers of L. The considered multiplier functions are finitely smooth and satisfy an integral condition at infinity. In particular multipliers of compact support are admitted.
650		4	\|a Maximal multiplier \|7 (dpeaa)DE-He213
650		4	\|a Square function \|7 (dpeaa)DE-He213
650		4	\|a Spectral multiplier \|7 (dpeaa)DE-He213
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952			\|d 287 \|j 2016 \|e 1-2 \|b 29 \|c 11 \|h 143-153

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publishDate	2016
allfields	10.1007/s00209-016-1820-9 doi (DE-627)SPR001931091 (SPR)s00209-016-1820-9-e DE-627 ger DE-627 rakwb eng Wróbel, Błażej verfasserin aut On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2016 Abstract We prove that the existence of a Mihlin-Hörmander functional calculus for an operator L implies the boundedness on %$L^p%$ of both the maximal multiplier operators and the continuous square functions build on spectral multipliers of L. The considered multiplier functions are finitely smooth and satisfy an integral condition at infinity. In particular multipliers of compact support are admitted. Maximal multiplier (dpeaa)DE-He213 Square function (dpeaa)DE-He213 Spectral multiplier (dpeaa)DE-He213 Enthalten in Mathematische Zeitschrift Berlin : Springer, 1918 287(2016), 1-2 vom: 29. Nov., Seite 143-153 (DE-627)254630812 (DE-600)1462134-4 1432-1823 nnns volume:287 year:2016 number:1-2 day:29 month:11 pages:143-153 https://dx.doi.org/10.1007/s00209-016-1820-9 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_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_2018 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 287 2016 1-2 29 11 143-153
spelling	10.1007/s00209-016-1820-9 doi (DE-627)SPR001931091 (SPR)s00209-016-1820-9-e DE-627 ger DE-627 rakwb eng Wróbel, Błażej verfasserin aut On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2016 Abstract We prove that the existence of a Mihlin-Hörmander functional calculus for an operator L implies the boundedness on %$L^p%$ of both the maximal multiplier operators and the continuous square functions build on spectral multipliers of L. The considered multiplier functions are finitely smooth and satisfy an integral condition at infinity. In particular multipliers of compact support are admitted. Maximal multiplier (dpeaa)DE-He213 Square function (dpeaa)DE-He213 Spectral multiplier (dpeaa)DE-He213 Enthalten in Mathematische Zeitschrift Berlin : Springer, 1918 287(2016), 1-2 vom: 29. Nov., Seite 143-153 (DE-627)254630812 (DE-600)1462134-4 1432-1823 nnns volume:287 year:2016 number:1-2 day:29 month:11 pages:143-153 https://dx.doi.org/10.1007/s00209-016-1820-9 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_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_2018 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 287 2016 1-2 29 11 143-153
allfields_unstemmed	10.1007/s00209-016-1820-9 doi (DE-627)SPR001931091 (SPR)s00209-016-1820-9-e DE-627 ger DE-627 rakwb eng Wróbel, Błażej verfasserin aut On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2016 Abstract We prove that the existence of a Mihlin-Hörmander functional calculus for an operator L implies the boundedness on %$L^p%$ of both the maximal multiplier operators and the continuous square functions build on spectral multipliers of L. The considered multiplier functions are finitely smooth and satisfy an integral condition at infinity. In particular multipliers of compact support are admitted. Maximal multiplier (dpeaa)DE-He213 Square function (dpeaa)DE-He213 Spectral multiplier (dpeaa)DE-He213 Enthalten in Mathematische Zeitschrift Berlin : Springer, 1918 287(2016), 1-2 vom: 29. Nov., Seite 143-153 (DE-627)254630812 (DE-600)1462134-4 1432-1823 nnns volume:287 year:2016 number:1-2 day:29 month:11 pages:143-153 https://dx.doi.org/10.1007/s00209-016-1820-9 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_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_2018 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 287 2016 1-2 29 11 143-153
allfieldsGer	10.1007/s00209-016-1820-9 doi (DE-627)SPR001931091 (SPR)s00209-016-1820-9-e DE-627 ger DE-627 rakwb eng Wróbel, Błażej verfasserin aut On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2016 Abstract We prove that the existence of a Mihlin-Hörmander functional calculus for an operator L implies the boundedness on %$L^p%$ of both the maximal multiplier operators and the continuous square functions build on spectral multipliers of L. The considered multiplier functions are finitely smooth and satisfy an integral condition at infinity. In particular multipliers of compact support are admitted. Maximal multiplier (dpeaa)DE-He213 Square function (dpeaa)DE-He213 Spectral multiplier (dpeaa)DE-He213 Enthalten in Mathematische Zeitschrift Berlin : Springer, 1918 287(2016), 1-2 vom: 29. Nov., Seite 143-153 (DE-627)254630812 (DE-600)1462134-4 1432-1823 nnns volume:287 year:2016 number:1-2 day:29 month:11 pages:143-153 https://dx.doi.org/10.1007/s00209-016-1820-9 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_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_2018 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 287 2016 1-2 29 11 143-153
allfieldsSound	10.1007/s00209-016-1820-9 doi (DE-627)SPR001931091 (SPR)s00209-016-1820-9-e DE-627 ger DE-627 rakwb eng Wróbel, Błażej verfasserin aut On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2016 Abstract We prove that the existence of a Mihlin-Hörmander functional calculus for an operator L implies the boundedness on %$L^p%$ of both the maximal multiplier operators and the continuous square functions build on spectral multipliers of L. The considered multiplier functions are finitely smooth and satisfy an integral condition at infinity. In particular multipliers of compact support are admitted. Maximal multiplier (dpeaa)DE-He213 Square function (dpeaa)DE-He213 Spectral multiplier (dpeaa)DE-He213 Enthalten in Mathematische Zeitschrift Berlin : Springer, 1918 287(2016), 1-2 vom: 29. Nov., Seite 143-153 (DE-627)254630812 (DE-600)1462134-4 1432-1823 nnns volume:287 year:2016 number:1-2 day:29 month:11 pages:143-153 https://dx.doi.org/10.1007/s00209-016-1820-9 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_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_2018 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 287 2016 1-2 29 11 143-153
language	English
source	Enthalten in Mathematische Zeitschrift 287(2016), 1-2 vom: 29. Nov., Seite 143-153 volume:287 year:2016 number:1-2 day:29 month:11 pages:143-153
sourceStr	Enthalten in Mathematische Zeitschrift 287(2016), 1-2 vom: 29. Nov., Seite 143-153 volume:287 year:2016 number:1-2 day:29 month:11 pages:143-153
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Maximal multiplier Square function Spectral multiplier
isfreeaccess_bool	true
container_title	Mathematische Zeitschrift
authorswithroles_txt_mv	Wróbel, Błażej @@aut@@
publishDateDaySort_date	2016-11-29T00:00:00Z
hierarchy_top_id	254630812
id	SPR001931091
language_de	englisch
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author	Wróbel, Błażej
spellingShingle	Wróbel, Błażej misc Maximal multiplier misc Square function misc Spectral multiplier On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates
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topic_title	On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates Maximal multiplier (dpeaa)DE-He213 Square function (dpeaa)DE-He213 Spectral multiplier (dpeaa)DE-He213
topic	misc Maximal multiplier misc Square function misc Spectral multiplier
topic_unstemmed	misc Maximal multiplier misc Square function misc Spectral multiplier
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title	On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates
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title_full	On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates
author_sort	Wróbel, Błażej
journal	Mathematische Zeitschrift
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author_browse	Wróbel, Błażej
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format_se	Elektronische Aufsätze
author-letter	Wróbel, Błażej
doi_str_mv	10.1007/s00209-016-1820-9
title_sort	on the consequences of a mihlin-hörmander functional calculus: maximal and square function estimates
title_auth	On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates
abstract	Abstract We prove that the existence of a Mihlin-Hörmander functional calculus for an operator L implies the boundedness on %$L^p%$ of both the maximal multiplier operators and the continuous square functions build on spectral multipliers of L. The considered multiplier functions are finitely smooth and satisfy an integral condition at infinity. In particular multipliers of compact support are admitted. © The Author(s) 2016
abstractGer	Abstract We prove that the existence of a Mihlin-Hörmander functional calculus for an operator L implies the boundedness on %$L^p%$ of both the maximal multiplier operators and the continuous square functions build on spectral multipliers of L. The considered multiplier functions are finitely smooth and satisfy an integral condition at infinity. In particular multipliers of compact support are admitted. © The Author(s) 2016
abstract_unstemmed	Abstract We prove that the existence of a Mihlin-Hörmander functional calculus for an operator L implies the boundedness on %$L^p%$ of both the maximal multiplier operators and the continuous square functions build on spectral multipliers of L. The considered multiplier functions are finitely smooth and satisfy an integral condition at infinity. In particular multipliers of compact support are admitted. © The Author(s) 2016
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title_short	On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates
url	https://dx.doi.org/10.1007/s00209-016-1820-9
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On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates

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