Maximal operators of Walsh-Kaczmarz logarithmic means

Károly Nagy; Ushangi Goginava

doi:10.1080/17476933.2011.644279

Maximal operators of Walsh-Kaczmarz logarithmic means

Károly Nagy
, Ushangi Goginava

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

3 Citations (Scopus)

Abstract

The main aim of this article is to investigate the (H_p, L_p)-type inequality for the maximal operators of Riesz and Nörlund logarithmic means of Walsh-Kaczmarz-Fourier series. Moreover, we show that the behaviour of Nörlund logarithmic means is worse than the behaviour of Riesz logarithmic means in our special sense.

Original language	English
Pages (from-to)	1173-1182
Number of pages	10
Journal	Complex Variables and Elliptic Equations
Volume	58
Issue number	9
DOIs	https://doi.org/10.1080/17476933.2011.644279
Publication status	Published - Sept 2013
Externally published	Yes

Keywords

Hardy space
logarithmic means
Nörlund means
Walsh-Kaczmarz system

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1080/17476933.2011.644279

Cite this

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AB - The main aim of this article is to investigate the (Hp, Lp)-type inequality for the maximal operators of Riesz and Nörlund logarithmic means of Walsh-Kaczmarz-Fourier series. Moreover, we show that the behaviour of Nörlund logarithmic means is worse than the behaviour of Riesz logarithmic means in our special sense.

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KW - logarithmic means

KW - Nörlund means

KW - Walsh-Kaczmarz system

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JO - Complex Variables and Elliptic Equations

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Maximal operators of Walsh-Kaczmarz logarithmic means

Abstract

Keywords

ASJC Scopus subject areas

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