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

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13 Citations (Scopus)

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 → ∞.

Original languageEnglish
Pages (from-to)169-175
Number of pages7
JournalActa Mathematica Academiae Paedagogicae Nyiregyhaziensis
Volume21
Issue number2
Publication statusPublished - 2005
Externally publishedYes

Keywords

  • a.e. convergence
  • Logarithmic means
  • Walsh functions

ASJC Scopus subject areas

  • General Mathematics
  • Education

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