Almost everywhere convergence of two-dimensional Walsh-Nörlund means

U. Goginava; K. Nagy

doi:10.15330/cmp.16.1.290-302

Almost everywhere convergence of two-dimensional Walsh-Nörlund means

U. Goginava
, K. Nagy

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	290-302
Number of pages	13
Journal	Carpathian Mathematical Publications
Volume	16
Issue number	1
DOIs	https://doi.org/10.15330/cmp.16.1.290-302
Publication status	Published - Jun 30 2024

Keywords

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

ASJC Scopus subject areas

General Mathematics

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10.15330/cmp.16.1.290-302

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abstract = "The present paper the almost everywhere convergence of two-dimensional Walsh-N{\"o}rlund means is studied, when the given function belongs to the hybrid Hardy space H♮. Because the N{\"o}rlund 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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N2 - 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.

AB - 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.

KW - Hardy space

KW - Nörlund mean

KW - Walsh system

KW - almost everywhere convergence

KW - weak type inequality

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EP - 302

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ER -

Almost everywhere convergence of two-dimensional Walsh-Nörlund means

Abstract

Keywords

ASJC Scopus subject areas

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