Convergence in measure of strong logarithmic means of double Fourier series

U. Goginava; L. Gogoladze

doi:10.3103/S1068362314030017

Convergence in measure of strong logarithmic means of double Fourier series

U. Goginava, L. Gogoladze

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

3 Citations (Scopus)

Abstract

Nörlund strong logarithmic means of double Fourier series acting from space L log L (T²) into space L_p (T²), 0 < p < 1, are studied. The maximal Orlicz space such that the Nörlund strong logarithmic means of double Fourier series for the functions from this space converge in two-dimensional measure is found.

Original language	English
Pages (from-to)	109-116
Number of pages	8
Journal	Journal of Contemporary Mathematical Analysis
Volume	49
Issue number	3
DOIs	https://doi.org/10.3103/S1068362314030017
Publication status	Published - Jun 2014
Externally published	Yes

Keywords

convergence in measure
Double Fourier series
Orlicz space

ASJC Scopus subject areas

Analysis
Control and Optimization
Applied Mathematics

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10.3103/S1068362314030017

Cite this

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title = "Convergence in measure of strong logarithmic means of double Fourier series",

abstract = "N{\"o}rlund strong logarithmic means of double Fourier series acting from space L log L (T2) into space Lp (T2), 0 < p < 1, are studied. The maximal Orlicz space such that the N{\"o}rlund strong logarithmic means of double Fourier series for the functions from this space converge in two-dimensional measure is found.",

keywords = "convergence in measure, Double Fourier series, Orlicz space",

author = "U. Goginava and L. Gogoladze",

year = "2014",

month = jun,

doi = "10.3103/S1068362314030017",

language = "English",

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AU - Goginava, U.

AU - Gogoladze, L.

PY - 2014/6

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AB - Nörlund strong logarithmic means of double Fourier series acting from space L log L (T2) into space Lp (T2), 0 < p < 1, are studied. The maximal Orlicz space such that the Nörlund strong logarithmic means of double Fourier series for the functions from this space converge in two-dimensional measure is found.

KW - convergence in measure

KW - Double Fourier series

KW - Orlicz space

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ER -

Convergence in measure of strong logarithmic means of double Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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