Marcinkiewicz-Fejer means of d-dimensional Walsh-Fourier series

被引：42

作者：

Goginava, U ^{[1
]}

机构：

[1] Tbilisi State Univ, Fac Mech & Math, GE-0128 Tbilisi, Georgia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 307卷 / 01期

关键词：

multiple Walsh-Fourier series; Marcinkiewicz-Fejer means; Hardy-Lorentz space;

D O I：

10.1016/j.jmaa.2004.11.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The boundedness of Marcinkiewicz maximal operator for d-dimensional Walsh-Fourier series is studied from the martingale Hardy-Lorentz space H-p,H-q into the Lorentz space L-p,L-q. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：206 / 218

页数：13

共 17 条

[11] Strong Convergence of Two-Dimensional Walsh-Fourier Series
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[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2013, 65 (06) : 914 - 927
[12] Almost everywhere summability of multiple Walsh-Fourier series
Goginava, U
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 287 (01) : 90 - 100
[13] Unrestricted Cesàro summability of d-dimensional Fourier series and Lebesgue points
Weisz, Ferenc
[J]. CONSTRUCTIVE MATHEMATICAL ANALYSIS, 2021, 4 (02): : 179 - 185
[14] Uniform summability of double Walsh-Fourier series of functions of bounded partial I⟩-variation
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[J]. MATHEMATICA SLOVACA, 2014, 64 (06) : 1451 - 1474
[15] Lebesgue points of l1-Cesaro summability of d-dimensional Fourier series
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[J]. ADVANCES IN OPERATOR THEORY, 2021, 6 (03)
[16] Convergence and localization in Orlicz classes for multiple Walsh-Fourier series with a lacunary sequence of rectangular partial sums
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Bloshanskii, I. L.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 435 (01) : 765 - 782
[17] l1-SUMMABILITY AND LEBESGUE POINTS OF d-DIMENSIONAL FOURIER TRANSFORMS
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[J]. ADVANCES IN OPERATOR THEORY, 2019, 4 (01): : 284 - 304

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