Restricted maximal operators of Fejér means of double Walsh-Fourier series

Ushangi Goginava

doi:10.1007/s10998-009-0173-0

Restricted maximal operators of Fejér means of double Walsh-Fourier series

Ushangi Goginava

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

Abstract

The main aim of this paper is to prove that there exists a martingale such that the restricted maximal operators of Fejér means of twodimensional Walsh-Fourier series and conjugate Walsh-Fourier series does not belong to the space weak-L_1/2.

Original language	English
Pages (from-to)	173-183
Number of pages	11
Journal	Periodica Mathematica Hungarica
Volume	59
Issue number	2
DOIs	https://doi.org/10.1007/s10998-009-0173-0
Publication status	Published - Nov 2009
Externally published	Yes

Keywords

Hardy space
Maximal operator
Walsh function

ASJC Scopus subject areas

General Mathematics

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10.1007/s10998-009-0173-0

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abstract = "The main aim of this paper is to prove that there exists a martingale such that the restricted maximal operators of Fej{\'e}r means of twodimensional Walsh-Fourier series and conjugate Walsh-Fourier series does not belong to the space weak-L1/2.",

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KW - Hardy space

KW - Maximal operator

KW - Walsh function

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Restricted maximal operators of Fejér means of double Walsh-Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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