BMO-Estimation and Almost Everywhere Exponential Summability of Quadratic Partial Sums of Double Fourier Series

U. Goginava, L. Gogoladze, G. Karagulyan

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

A BMO-estimation for quadratic partial sums of two-dimensional Fourier series is proved from which is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier series.

Original languageEnglish
Pages (from-to)105-120
Number of pages16
JournalConstructive Approximation
Volume40
Issue number1
DOIs
Publication statusPublished - Aug 2014
Externally publishedYes

Keywords

  • Almost everywhere convergence
  • BMO-space
  • Double Fourier series
  • Exponential means
  • Quadratic partial sums
  • Strong summability

ASJC Scopus subject areas

  • Analysis
  • General Mathematics
  • Computational Mathematics

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