Maximal operators of Fejér means of double Walsh-Fourier series

U. Goginava

doi:10.1007/s10474-007-5268-6

Maximal operators of Fejér means of double Walsh-Fourier series

U. Goginava

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

32 Citations (Scopus)

Abstract

The main aim of this paper is to prove that the maximal operator σ₀^* : = sup_n | σ _n,n| of the Fejér mean of the double Walsh-Fourier series is not bounded from the Hardy space H _1/2 to the space weak-L _1/2.

Original language	English
Pages (from-to)	333-340
Number of pages	8
Journal	Acta Mathematica Hungarica
Volume	115
Issue number	4
DOIs	https://doi.org/10.1007/s10474-007-5268-6
Publication status	Published - Jun 2007
Externally published	Yes

Keywords

Hardy space
Maximal operator
Walsh function

ASJC Scopus subject areas

General Mathematics

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10.1007/s10474-007-5268-6

Cite this

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abstract = "The main aim of this paper is to prove that the maximal operator σ0* : = supn | σ n,n| of the Fej{\'e}r mean of the double Walsh-Fourier series is not bounded from the Hardy space H 1/2 to the space weak-L 1/2.",

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AB - The main aim of this paper is to prove that the maximal operator σ0* : = supn | σ n,n| of the Fejér mean of the double Walsh-Fourier series is not bounded from the Hardy space H 1/2 to the space weak-L 1/2.

KW - Hardy space

KW - Maximal operator

KW - Walsh function

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ER -

Maximal operators of Fejér means of double Walsh-Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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