Weak type inequality for the maximal operator of walsh-kaczmarz-marcinkiewicz means

Ushangi Goginava; Károly Nagy

doi:10.1016/S0252-9602(16)30005-4

Weak type inequality for the maximal operator of walsh-kaczmarz-marcinkiewicz means

Ushangi Goginava, Károly Nagy

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

1 Citation (Scopus)

Abstract

The main aim of this article is to prove that the maximal operator σ_*^κ of the Marcinkiewicz-Fejér means of the two-dimensional Fourier series with respect to Walsh-Kaczmarz system is bounded from the Hardy space H_2/3 to the space weak-L_2/3.

Original language	English
Pages (from-to)	359-370
Number of pages	12
Journal	Acta Mathematica Scientia
Volume	36
Issue number	2
DOIs	https://doi.org/10.1016/S0252-9602(16)30005-4
Publication status	Published - Mar 1 2016
Externally published	Yes

Keywords

a.e. convergence
Marcinkiewicz-Fejér means
Maximal operator
Walsh-Kaczmarz system
Weak type inequality

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy

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10.1016/S0252-9602(16)30005-4

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abstract = "The main aim of this article is to prove that the maximal operator σ*κ of the Marcinkiewicz-Fej{\'e}r means of the two-dimensional Fourier series with respect to Walsh-Kaczmarz system is bounded from the Hardy space H2/3 to the space weak-L2/3.",

keywords = "a.e. convergence, Marcinkiewicz-Fej{\'e}r means, Maximal operator, Walsh-Kaczmarz system, Weak type inequality",

author = "Ushangi Goginava and K{\'a}roly Nagy",

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AU - Nagy, Károly

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N2 - The main aim of this article is to prove that the maximal operator σ*κ of the Marcinkiewicz-Fejér means of the two-dimensional Fourier series with respect to Walsh-Kaczmarz system is bounded from the Hardy space H2/3 to the space weak-L2/3.

AB - The main aim of this article is to prove that the maximal operator σ*κ of the Marcinkiewicz-Fejér means of the two-dimensional Fourier series with respect to Walsh-Kaczmarz system is bounded from the Hardy space H2/3 to the space weak-L2/3.

KW - a.e. convergence

KW - Marcinkiewicz-Fejér means

KW - Maximal operator

KW - Walsh-Kaczmarz system

KW - Weak type inequality

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ER -

Weak type inequality for the maximal operator of walsh-kaczmarz-marcinkiewicz means

Abstract

Keywords

ASJC Scopus subject areas

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