Convergence of logarithmic means of multiple walsh-fourier series

G. Gát; U. Goginava; G. Tkebuchava

doi:10.1007/BF02836855

Convergence of logarithmic means of multiple walsh-fourier series

G. Gát
, U. Goginava
, G. Tkebuchava

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

11 Citations (Scopus)

Abstract

Nörlund logarithmic means of multiple Walsh-Fourier series acting from spaceLln ^d-1 L([0, 1) ^d), d>-1 into space weak-L ¹([0, 1) ^d) are studied. The maximal Orlicz space such that the Nörlund logarithmic means of multiple Walsh-Fourier series for the functions from this space converge in d-dimensional measure is found.

Original language	English
Pages (from-to)	326-338
Number of pages	13
Journal	Analysis in Theory and Applications
Volume	21
Issue number	4
DOIs	https://doi.org/10.1007/BF02836855
Publication status	Published - Dec 2005
Externally published	Yes

Keywords

convergence in metric and in measure
Multiple walsh-fourier series
Nörlund means

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/BF02836855

Cite this

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abstract = "N{\"o}rlund logarithmic means of multiple Walsh-Fourier series acting from spaceLln d-1 L([0, 1) d), d>-1 into space weak-L 1([0, 1) d) are studied. The maximal Orlicz space such that the N{\"o}rlund logarithmic means of multiple Walsh-Fourier series for the functions from this space converge in d-dimensional measure is found.",

keywords = "convergence in metric and in measure, Multiple walsh-fourier series, N{\"o}rlund means",

author = "G. G{\'a}t and U. Goginava and G. Tkebuchava",

year = "2005",

month = dec,

doi = "10.1007/BF02836855",

language = "English",

volume = "21",

pages = "326--338",

journal = "Analysis in Theory and Applications",

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T1 - Convergence of logarithmic means of multiple walsh-fourier series

AU - Gát, G.

AU - Goginava, U.

AU - Tkebuchava, G.

PY - 2005/12

Y1 - 2005/12

N2 - Nörlund logarithmic means of multiple Walsh-Fourier series acting from spaceLln d-1 L([0, 1) d), d>-1 into space weak-L 1([0, 1) d) are studied. The maximal Orlicz space such that the Nörlund logarithmic means of multiple Walsh-Fourier series for the functions from this space converge in d-dimensional measure is found.

AB - Nörlund logarithmic means of multiple Walsh-Fourier series acting from spaceLln d-1 L([0, 1) d), d>-1 into space weak-L 1([0, 1) d) are studied. The maximal Orlicz space such that the Nörlund logarithmic means of multiple Walsh-Fourier series for the functions from this space converge in d-dimensional measure is found.

KW - convergence in metric and in measure

KW - Multiple walsh-fourier series

KW - Nörlund means

UR - https://www.scopus.com/pages/publications/67149122386

UR - https://www.scopus.com/pages/publications/67149122386#tab=citedBy

U2 - 10.1007/BF02836855

DO - 10.1007/BF02836855

M3 - Article

AN - SCOPUS:67149122386

SN - 1672-4070

VL - 21

SP - 326

EP - 338

JO - Analysis in Theory and Applications

JF - Analysis in Theory and Applications

IS - 4

ER -

Convergence of logarithmic means of multiple walsh-fourier series

Abstract

Keywords

ASJC Scopus subject areas

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