Some properties of the Walsh-Nörlund means

Ushangi Goginava, Károly Nagy

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In the present paper we give a necessary and sufficient condition on monotone weights, which guaranties the Nörlund means of Walsh-Fourier series converge in L 1 norm and CW norm. We also discuss the almost everywhere summability by Nörlund means and we prove that our condition is sufficient for almost everywhere convergence of Nörlund means for all integrable functions.

Original languageEnglish
Pages (from-to)301-334
Number of pages34
JournalQuaestiones Mathematicae
Volume46
Issue number2
DOIs
Publication statusPublished - 2023

Keywords

  • almost everywhere convergence
  • convergence in norm
  • Fejér mean
  • martingale transform
  • Nörlund mean
  • Walsh system
  • weak type inequality

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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