Convergence in norm of logarithmic means of multiple fourier series

Ushangi Goginava; Larry Gogoladze

doi:10.7153/mia-18-62

Convergence in norm of logarithmic means of multiple fourier series

Ushangi Goginava
, Larry Gogoladze

Research output: Contribution to journal › Article › peer-review

Abstract

The maximal Orlicz space such that the mixed logarithmic means of multiple Fourier series for the functions from this space converge in L₁-norm is found.

Original language	English
Pages (from-to)	859-867
Number of pages	9
Journal	Mathematical Inequalities and Applications
Volume	18
Issue number	3
DOIs	https://doi.org/10.7153/mia-18-62
Publication status	Published - Jul 1 2015
Externally published	Yes

Keywords

Convergence in norm
Double Fourier series
Orlicz space

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.7153/mia-18-62

Cite this

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title = "Convergence in norm of logarithmic means of multiple fourier series",

abstract = "The maximal Orlicz space such that the mixed logarithmic means of multiple Fourier series for the functions from this space converge in L1-norm is found.",

keywords = "Convergence in norm, Double Fourier series, Orlicz space",

author = "Ushangi Goginava and Larry Gogoladze",

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year = "2015",

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T1 - Convergence in norm of logarithmic means of multiple fourier series

AU - Goginava, Ushangi

AU - Gogoladze, Larry

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Y1 - 2015/7/1

N2 - The maximal Orlicz space such that the mixed logarithmic means of multiple Fourier series for the functions from this space converge in L1-norm is found.

AB - The maximal Orlicz space such that the mixed logarithmic means of multiple Fourier series for the functions from this space converge in L1-norm is found.

KW - Convergence in norm

KW - Double Fourier series

KW - Orlicz space

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JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 3

ER -

Convergence in norm of logarithmic means of multiple fourier series

Abstract

Keywords

ASJC Scopus subject areas

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