Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series

Abstract We generalize the classical Lebesgue’s theorem and prove that the %$\ell _1%$-Cesàro means of the Fourier series of the multi-dimensional function %$f\in L_1({{\mathbb {T}}}^d)%$ converge to f at each strong %$\omega %$-Lebesgue point.

Gespeichert in:

Autor*in:	Weisz, Ferenc [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	Cesàro summability Fejér summability -summability Hardy–Littlewood maximal function Lebesgue points

Anmerkung:	© The Author(s) 2021

Übergeordnetes Werk:	Enthalten in: Advances in operator theory - Basel : Birkhäuser, 2016, 6(2021), 3 vom: 17. Mai
Übergeordnetes Werk:	volume:6 ; year:2021 ; number:3 ; day:17 ; month:05

Links:	Volltext

DOI / URN:	10.1007/s43036-021-00144-3

Katalog-ID:	SPR044064233

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520			\|a Abstract We generalize the classical Lebesgue’s theorem and prove that the %$\ell _1%$-Cesàro means of the Fourier series of the multi-dimensional function %$f\in L_1({{\mathbb {T}}}^d)%$ converge to f at each strong %$\omega %$-Lebesgue point.
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650		4	\|a Fejér summability \|7 (dpeaa)DE-He213
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650		4	\|a Lebesgue points \|7 (dpeaa)DE-He213
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publishDate	2021
allfields	10.1007/s43036-021-00144-3 doi (DE-627)SPR044064233 (SPR)s43036-021-00144-3-e DE-627 ger DE-627 rakwb eng 510 ASE 31.47 bkl Weisz, Ferenc verfasserin aut Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract We generalize the classical Lebesgue’s theorem and prove that the %$\ell _1%$-Cesàro means of the Fourier series of the multi-dimensional function %$f\in L_1({{\mathbb {T}}}^d)%$ converge to f at each strong %$\omega %$-Lebesgue point. Cesàro summability (dpeaa)DE-He213 Fejér summability (dpeaa)DE-He213 -summability (dpeaa)DE-He213 Hardy–Littlewood maximal function (dpeaa)DE-He213 Lebesgue points (dpeaa)DE-He213 Enthalten in Advances in operator theory Basel : Birkhäuser, 2016 6(2021), 3 vom: 17. Mai (DE-627)1012767310 (DE-600)2919232-8 2538-225X nnns volume:6 year:2021 number:3 day:17 month:05 https://dx.doi.org/10.1007/s43036-021-00144-3 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_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 31.47 ASE AR 6 2021 3 17 05
spelling	10.1007/s43036-021-00144-3 doi (DE-627)SPR044064233 (SPR)s43036-021-00144-3-e DE-627 ger DE-627 rakwb eng 510 ASE 31.47 bkl Weisz, Ferenc verfasserin aut Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract We generalize the classical Lebesgue’s theorem and prove that the %$\ell _1%$-Cesàro means of the Fourier series of the multi-dimensional function %$f\in L_1({{\mathbb {T}}}^d)%$ converge to f at each strong %$\omega %$-Lebesgue point. Cesàro summability (dpeaa)DE-He213 Fejér summability (dpeaa)DE-He213 -summability (dpeaa)DE-He213 Hardy–Littlewood maximal function (dpeaa)DE-He213 Lebesgue points (dpeaa)DE-He213 Enthalten in Advances in operator theory Basel : Birkhäuser, 2016 6(2021), 3 vom: 17. Mai (DE-627)1012767310 (DE-600)2919232-8 2538-225X nnns volume:6 year:2021 number:3 day:17 month:05 https://dx.doi.org/10.1007/s43036-021-00144-3 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_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 31.47 ASE AR 6 2021 3 17 05
allfields_unstemmed	10.1007/s43036-021-00144-3 doi (DE-627)SPR044064233 (SPR)s43036-021-00144-3-e DE-627 ger DE-627 rakwb eng 510 ASE 31.47 bkl Weisz, Ferenc verfasserin aut Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract We generalize the classical Lebesgue’s theorem and prove that the %$\ell _1%$-Cesàro means of the Fourier series of the multi-dimensional function %$f\in L_1({{\mathbb {T}}}^d)%$ converge to f at each strong %$\omega %$-Lebesgue point. Cesàro summability (dpeaa)DE-He213 Fejér summability (dpeaa)DE-He213 -summability (dpeaa)DE-He213 Hardy–Littlewood maximal function (dpeaa)DE-He213 Lebesgue points (dpeaa)DE-He213 Enthalten in Advances in operator theory Basel : Birkhäuser, 2016 6(2021), 3 vom: 17. Mai (DE-627)1012767310 (DE-600)2919232-8 2538-225X nnns volume:6 year:2021 number:3 day:17 month:05 https://dx.doi.org/10.1007/s43036-021-00144-3 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_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 31.47 ASE AR 6 2021 3 17 05
allfieldsGer	10.1007/s43036-021-00144-3 doi (DE-627)SPR044064233 (SPR)s43036-021-00144-3-e DE-627 ger DE-627 rakwb eng 510 ASE 31.47 bkl Weisz, Ferenc verfasserin aut Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract We generalize the classical Lebesgue’s theorem and prove that the %$\ell _1%$-Cesàro means of the Fourier series of the multi-dimensional function %$f\in L_1({{\mathbb {T}}}^d)%$ converge to f at each strong %$\omega %$-Lebesgue point. Cesàro summability (dpeaa)DE-He213 Fejér summability (dpeaa)DE-He213 -summability (dpeaa)DE-He213 Hardy–Littlewood maximal function (dpeaa)DE-He213 Lebesgue points (dpeaa)DE-He213 Enthalten in Advances in operator theory Basel : Birkhäuser, 2016 6(2021), 3 vom: 17. Mai (DE-627)1012767310 (DE-600)2919232-8 2538-225X nnns volume:6 year:2021 number:3 day:17 month:05 https://dx.doi.org/10.1007/s43036-021-00144-3 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_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 31.47 ASE AR 6 2021 3 17 05
allfieldsSound	10.1007/s43036-021-00144-3 doi (DE-627)SPR044064233 (SPR)s43036-021-00144-3-e DE-627 ger DE-627 rakwb eng 510 ASE 31.47 bkl Weisz, Ferenc verfasserin aut Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract We generalize the classical Lebesgue’s theorem and prove that the %$\ell _1%$-Cesàro means of the Fourier series of the multi-dimensional function %$f\in L_1({{\mathbb {T}}}^d)%$ converge to f at each strong %$\omega %$-Lebesgue point. Cesàro summability (dpeaa)DE-He213 Fejér summability (dpeaa)DE-He213 -summability (dpeaa)DE-He213 Hardy–Littlewood maximal function (dpeaa)DE-He213 Lebesgue points (dpeaa)DE-He213 Enthalten in Advances in operator theory Basel : Birkhäuser, 2016 6(2021), 3 vom: 17. Mai (DE-627)1012767310 (DE-600)2919232-8 2538-225X nnns volume:6 year:2021 number:3 day:17 month:05 https://dx.doi.org/10.1007/s43036-021-00144-3 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_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 31.47 ASE AR 6 2021 3 17 05
language	English
source	Enthalten in Advances in operator theory 6(2021), 3 vom: 17. Mai volume:6 year:2021 number:3 day:17 month:05
sourceStr	Enthalten in Advances in operator theory 6(2021), 3 vom: 17. Mai volume:6 year:2021 number:3 day:17 month:05
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Cesàro summability Fejér summability -summability Hardy–Littlewood maximal function Lebesgue points
dewey-raw	510
isfreeaccess_bool	true
container_title	Advances in operator theory
authorswithroles_txt_mv	Weisz, Ferenc @@aut@@
publishDateDaySort_date	2021-05-17T00:00:00Z
hierarchy_top_id	1012767310
dewey-sort	3510
id	SPR044064233
language_de	englisch
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author	Weisz, Ferenc
spellingShingle	Weisz, Ferenc ddc 510 bkl 31.47 misc Cesàro summability misc Fejér summability misc -summability misc Hardy–Littlewood maximal function misc Lebesgue points Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series
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topic_title	510 ASE 31.47 bkl Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series Cesàro summability (dpeaa)DE-He213 Fejér summability (dpeaa)DE-He213 -summability (dpeaa)DE-He213 Hardy–Littlewood maximal function (dpeaa)DE-He213 Lebesgue points (dpeaa)DE-He213
topic	ddc 510 bkl 31.47 misc Cesàro summability misc Fejér summability misc -summability misc Hardy–Littlewood maximal function misc Lebesgue points
topic_unstemmed	ddc 510 bkl 31.47 misc Cesàro summability misc Fejér summability misc -summability misc Hardy–Littlewood maximal function misc Lebesgue points
topic_browse	ddc 510 bkl 31.47 misc Cesàro summability misc Fejér summability misc -summability misc Hardy–Littlewood maximal function misc Lebesgue points
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title	Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series
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title_full	Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series
author_sort	Weisz, Ferenc
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title_sort	lebesgue points of %$\ell _1%$-cesàro summability of d-dimensional fourier series
title_auth	Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series
abstract	Abstract We generalize the classical Lebesgue’s theorem and prove that the %$\ell _1%$-Cesàro means of the Fourier series of the multi-dimensional function %$f\in L_1({{\mathbb {T}}}^d)%$ converge to f at each strong %$\omega %$-Lebesgue point. © The Author(s) 2021
abstractGer	Abstract We generalize the classical Lebesgue’s theorem and prove that the %$\ell _1%$-Cesàro means of the Fourier series of the multi-dimensional function %$f\in L_1({{\mathbb {T}}}^d)%$ converge to f at each strong %$\omega %$-Lebesgue point. © The Author(s) 2021
abstract_unstemmed	Abstract We generalize the classical Lebesgue’s theorem and prove that the %$\ell _1%$-Cesàro means of the Fourier series of the multi-dimensional function %$f\in L_1({{\mathbb {T}}}^d)%$ converge to f at each strong %$\omega %$-Lebesgue point. © The Author(s) 2021
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title_short	Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series
url	https://dx.doi.org/10.1007/s43036-021-00144-3
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up_date	2024-07-03T22:40:31.279Z
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Lebesgue points of %$\ell _1%$-Cesàro summability of d-dimensional Fourier series

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