On the maximal operator of Walsh-Kaczmarz-Fejér means

Ushangi Goginava; Károly Nagy

doi:10.1007/s10587-011-0038-6

On the maximal operator of Walsh-Kaczmarz-Fejér means

Ushangi Goginava, Károly Nagy

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

29 Citations (Scopus)

Abstract

In this paper we prove that the maximal operator, where σ_n^kis the n-th Fejér mean of the Walsh-Kaczmarz-Fourier series, is bounded from the Hardy space H_1/2(G) to the space L_1/2(G).

Original language	English
Pages (from-to)	673-686
Number of pages	14
Journal	Czechoslovak Mathematical Journal
Volume	61
Issue number	3
DOIs	https://doi.org/10.1007/s10587-011-0038-6
Publication status	Published - Sept 2011
Externally published	Yes

Keywords

Fejér means
maximal operator
Walsh-Kaczmarz system

ASJC Scopus subject areas

General Mathematics

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10.1007/s10587-011-0038-6

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title = "On the maximal operator of Walsh-Kaczmarz-Fej{\'e}r means",

abstract = "In this paper we prove that the maximal operator, where σnkis the n-th Fej{\'e}r mean of the Walsh-Kaczmarz-Fourier series, is bounded from the Hardy space H1/2(G) to the space L1/2(G).",

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

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doi = "10.1007/s10587-011-0038-6",

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AB - In this paper we prove that the maximal operator, where σnkis the n-th Fejér mean of the Walsh-Kaczmarz-Fourier series, is bounded from the Hardy space H1/2(G) to the space L1/2(G).

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KW - maximal operator

KW - Walsh-Kaczmarz system

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On the maximal operator of Walsh-Kaczmarz-Fejér means

Abstract

Keywords

ASJC Scopus subject areas

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