Maximal operators of Walsh–Nörlund means on the dyadic Hardy spaces

U. Goginava

doi:10.1007/s10474-023-01294-x

Maximal operators of Walsh–Nörlund means on the dyadic Hardy spaces

U. Goginava

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

3 Citations (Scopus)

Abstract

We establish necessary and sufficient conditions for the maximaloperator of Walsh–Nörlund means with non-increasing weights to be boundedfrom the dyadic Hardy space H_p(I) to the space L_p(I).

Original language	English
Pages (from-to)	171-190
Number of pages	20
Journal	Acta Mathematica Hungarica
Volume	169
Issue number	1
DOIs	https://doi.org/10.1007/s10474-023-01294-x
Publication status	Published - Feb 2023

Keywords

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

ASJC Scopus subject areas

General Mathematics

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10.1007/s10474-023-01294-x

Cite this

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title = "Maximal operators of Walsh–N{\"o}rlund means on the dyadic Hardy spaces",

abstract = "We establish necessary and sufficient conditions for the maximaloperator of Walsh–N{\"o}rlund means with non-increasing weights to be boundedfrom the dyadic Hardy space Hp(I) to the space Lp(I).",

keywords = "almost everywhere convergence, Hardy space, N{\"o}rlund mean, Walsh system, weak type inequality",

author = "U. Goginava",

note = "Publisher Copyright: {\textcopyright} 2023, Akad{\'e}miai Kiad{\'o}, Budapest, Hungary.",

year = "2023",

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doi = "10.1007/s10474-023-01294-x",

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AB - We establish necessary and sufficient conditions for the maximaloperator of Walsh–Nörlund means with non-increasing weights to be boundedfrom the dyadic Hardy space Hp(I) to the space Lp(I).

KW - almost everywhere convergence

KW - Hardy space

KW - Nörlund mean

KW - Walsh system

KW - weak type inequality

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JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

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ER -

Maximal operators of Walsh–Nörlund means on the dyadic Hardy spaces

Abstract

Keywords

ASJC Scopus subject areas

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