Almost everywhere convergence of two-dimensional Walsh-Nörlund means

Authors

  • U. Goginava United Arab Emirates University, P.O. Box 15551 Al Ain, United Arab Emirates https://orcid.org/0000-0002-8292-9715
  • K. Nagy Eszterházy Károly Catholic University H-3300 Eger, 4 Leányka str., Hungary
https://doi.org/10.15330/cmp.16.1.290-302

Keywords:

Walsh system, Nörlund mean, Hardy space, weak type inequality, almost everywhere convergence
Published online: 2024-06-30

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 $H_{\natural}$. 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.

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How to Cite
(1)
Goginava, U.; Nagy, K. Almost Everywhere Convergence of Two-Dimensional Walsh-Nörlund Means. Carpathian Math. Publ. 2024, 16, 290-302.