Convergence in measure of logarithmic means of multiple Fourier series

U. Goginava, L. Gogoladze

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The maximal Orlicz space such that the mixed logarithmic means of rectangular partial sums of multiple Fourier series for the functions from this space converge in measure is found.

Original languageEnglish
Pages (from-to)70-77
Number of pages8
JournalJournal of Contemporary Mathematical Analysis
Volume49
Issue number2
DOIs
Publication statusPublished - Mar 2014
Externally publishedYes

Keywords

  • convergence in measure
  • Multiple Fourier series
  • Orlicz space

ASJC Scopus subject areas

  • Analysis
  • Control and Optimization
  • Applied Mathematics

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