Almost everywhere convergence of subsequence of logarithmic means of Walsh-Fourier series

Ushangi Goginava

Almost everywhere convergence of subsequence of logarithmic means of Walsh-Fourier series

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

Abstract

In this paper we prove that the maximal operator of the subsequence of logarithmic means of Walsh-Fourier series is weak type (1,1). Moreover, the logarithmic means t_mn (f) of the function f ∈ L converge a.e. to f as n → ∞.

Original language	English
Pages (from-to)	169-175
Number of pages	7
Journal	Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis
Volume	21
Issue number	2
Publication status	Published - 2005
Externally published	Yes

Keywords

a.e. convergence
Logarithmic means
Walsh functions

ASJC Scopus subject areas

General Mathematics
Education

Cite this

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abstract = "In this paper we prove that the maximal operator of the subsequence of logarithmic means of Walsh-Fourier series is weak type (1,1). Moreover, the logarithmic means tmn (f) of the function f ∈ L converge a.e. to f as n → ∞.",

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KW - a.e. convergence

KW - Logarithmic means

KW - Walsh functions

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Almost everywhere convergence of subsequence of logarithmic means of Walsh-Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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