Almost everywhere convergence of two-dimensional Walsh-Nörlund means

U. Goginava, K. Nagy

Research output: Contribution to journalArticlepeer-review

Abstract

The present paper the almost everywhere convergence of two-dimensional Walsh-Nörlund means is studied, when the given function belongs to the hybrid Hardy space H. Because the Nörlund means are a generalization of several known classical summability methods, previously known classical theorems are derived from the main theorem. In addition some new results follow in particular cases as well.

Original languageEnglish
Pages (from-to)290-302
Number of pages13
JournalCarpathian Mathematical Publications
Volume16
Issue number1
DOIs
Publication statusPublished - Jun 30 2024

Keywords

  • almost everywhere convergence
  • Hardy space
  • Nörlund mean
  • Walsh system
  • weak type inequality

ASJC Scopus subject areas

  • General Mathematics

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