Convergence in measure of logarithmic means of multiple Fourier series

被引：0

作者：

U. Goginava

L. Gogoladze

机构：

[1] Tbilisi State University,

来源：

Journal of Contemporary Mathematical Analysis | 2014年 / 49卷

关键词：

Multiple Fourier series; Orlicz space; convergence in measure; 42A24;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The maximal Orlicz space such that the mixed logarithmic means of rectangular partial sums of multiple Fourier series for the functions from this space converge in measure is found.

引用

页码：70 / 77

页数：7

共 50 条

[21] ON PROBLEMS OF THE DIVERGENCE OF LOGARITHMIC MEANS OF FOURIER SERIES
Goginava, Ushangi
Mukhamedov, Farrukh
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2025,
[22] Almost everywhere convergence of some subsequences of the Nörlund logarithmic means of Walsh–Fourier seriesСходимость почти всюду некоторых подпоследовательностей логарифимических средпих Нёрлунда ряда Уолша-Фурье
Nacima Memić
Analysis Mathematica, 2015, 41 (1-2) : 45 - 54
[23] Almost everywhere convergence of some subsequences of the Norlund logarithmic means of Walsh-Fourier series
Memic, Nacima
ANALYSIS MATHEMATICA, 2015, 41 (1-2) : 45 - 54
[24] Almost Everywhere Convergence of Strong Nörlund Logarithmic Means of Walsh-Fourier Series
U. Goginava
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018, 53 : 281 - 287
[25] CONVERGENCE OF MULTIPLE FOURIER SERIES
FEFFERMAN, C
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 77 (05) : 744 - +
[26] ALMOST EVERYWHERE CONVERGENCE OF A SUBSEQUENCE OF THE NORLUND LOGARITHMIC MEANS OF WALSH-KACZMARZ-FOURIER SERIES
Nagy, Karoly
JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (04): : 499 - 510
[27] LOGARITHMIC SUMMABILITY AND CONVERGENCE FACTORS OF FOURIER SERIES AND SOME ASSOCIATED SERIES
IZUMI, M
IZUMI, SI
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 35 (01) : 157 - &
[28] ON STRONG APPROXIMATION BY LOGARITHMIC MEANS OF FOURIER-SERIES
LENSKI, W
ACTA SCIENTIARUM MATHEMATICARUM, 1985, 48 (1-4): : 285 - 295
[29] MEAN AND POINTWISE CONVERGENCE OF LOGARITHMIC MEANS OF LAPLACE SERIES
TAIBLESO.MH
SCRIPTA MATHEMATICA, 1968, 28 (03): : 197 - &
[30] Almost everywhere convergence of a subsequence of logarithmic means of Fourier series on the group of 2-adic integers
Blahota, Istvan
GEORGIAN MATHEMATICAL JOURNAL, 2012, 19 (03) : 417 - 425

← 1 2 3 4 5 →