Multiple trigonometric series with partially monotone coefficients

被引：0

作者：

Dzhumabaeva, D. G. ^{[1
]}

Dyachenko, M. I. ^{[2
,3
]}

Nursultanov, E. D. ^{[4
]}

机构：

[1] LN Gumilyov Eurasian Natl Univ, Astana, Kazakhstan

[2] Lomonosov Moscow State Univ, Moscow, Russia

[3] Moscow Ctr Fundamental & Appl Math, Moscow, Russia

[4] Lomonosov Moscow State Univ, Kazakhstan Branch, Astana, Kazakhstan

来源：

SBORNIK MATHEMATICS | 2025年 / 216卷 / 01期

关键词：

Pringsheim convergence; multiple trigonometric series with k-monotone coefficients; Hardy-Littlewood theorem;

D O I：

10.4213/sm10115e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Generalizations of the Hardy-Littlewood theorem to multiple trigonometric series with partially monotone coefficients are discussed. Bibliography: 8 titles.

引用

页码：71 / 86

页数：16

共 8 条

[1]

Babenko K. I., 1971, PREPRINT

[2]

Bary N.K., 1964, A treatise on trigonometric series, VI

[3]

Djachenco M. I, 1990, ANAL MATH, V16, P173

[4] NORMS OF DIRICHLET KERNELS AND SOME OTHER TRIGONOMETRIC POLYNOMIALS IN L(P)-SPACES [J].

DYACHENKO, MI .

RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, 1994, 78 (02) :267-282

[5] On convergence of multiple trigonometric series with monotone coefficients [J].

Dzhumabaeva, D. G. ;

Dyachenko, M. I. ;

Nursultanov, E. D. .

SIBERIAN MATHEMATICAL JOURNAL, 2017, 58 (02) :205-214

[6] ON DOUBLE COSINE, SINE, AND WALSH-SERIES WITH MONOTONE COEFFICIENTS [J].

MORICZ, F .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 109 (02) :417-425

[7]

Nikolskii S. M., 1975, Approximation of Functions of Several Variables and Imbedding Theorems, V205

[8]

Zhizhiashvili L. V., 1975, SOOBSHCH AKAD NAUK G, V80, P17

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