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

Cite this

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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).",

keywords = "Fej{\'e}r means, maximal operator, Walsh-Kaczmarz system",

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

year = "2011",

month = sep,

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

language = "English",

volume = "61",

pages = "673--686",

journal = "Czechoslovak Mathematical Journal",

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AU - Goginava, Ushangi

AU - Nagy, Károly

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N2 - 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).

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).

KW - Fejér means

KW - maximal operator

KW - Walsh-Kaczmarz system

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UR - https://www.scopus.com/pages/publications/80155132566#tab=citedBy

U2 - 10.1007/s10587-011-0038-6

DO - 10.1007/s10587-011-0038-6

M3 - Article

AN - SCOPUS:80155132566

SN - 0011-4642

VL - 61

SP - 673

EP - 686

JO - Czechoslovak Mathematical Journal

JF - Czechoslovak Mathematical Journal

IS - 3

ER -

On the maximal operator of Walsh-Kaczmarz-Fejér means

Abstract

Keywords

ASJC Scopus subject areas

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