REAL

On the maximal operators of Walsh-Kaczmarz-Nörlund means

Tephnadze, George (2015) On the maximal operators of Walsh-Kaczmarz-Nörlund means. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (2). pp. 259-271. ISSN 0866-0174

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Abstract

The main aim of this paper is to investigate (Hp, Lp,∞) type inequalities for maximal operators of Nörlund means with monotone coefficients of one-dimensional Walsh-Kaczmarz system. By applying this results we conclude a.e. convergence of such Walsh-Kaczmarz-Nörlund means.

Item Type: Article
Uncontrolled Keywords: Walsh-Kaczmarz system, Walsh-Kaczmarz-Nörlund means, martingale Hardy space
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 06 Feb 2024 09:37
Last Modified: 06 Feb 2024 09:37
URI: http://real.mtak.hu/id/eprint/187643

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