Almost everywhere convergence of (C, α)-means of quadratical partial sums of double vilenkin-fourier series

György Gát, Ushangi Goginava

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We prove that the maximal operator of the (C, α)-means of quadratical partial sums of double Vilenkin-Fourier series is of weak type (1,1). Moreover, the (C, α)-means tαnf of a function f ε L1 converge a.e. to f as n → ∞.

Original languageEnglish
Pages (from-to)447-462
Number of pages16
JournalGeorgian Mathematical Journal
Volume13
Issue number3
DOIs
Publication statusPublished - 2006
Externally publishedYes

Keywords

  • a.e. convergence
  • Cesáro means
  • Vilenkin system

ASJC Scopus subject areas

  • General Mathematics

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