Marcinkiewicz-Fejer means of d-dimensional Walsh-Fourier series

Ushangi Goginava

doi:10.1016/j.jmaa.2004.11.001

Marcinkiewicz-Fejer means of d-dimensional Walsh-Fourier series

Ushangi Goginava

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

50 Citations (Scopus)

Abstract

The boundedness of Marcinkiewicz maximal operator for d-dimensional Walsh-Fourier series is studied from the martingale Hardy-Lorentz space H_p,q into the Lorentz space L_p,q.

Original language	English
Pages (from-to)	206-218
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	307
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2004.11.001
Publication status	Published - Jul 1 2005
Externally published	Yes

Keywords

Hardy-Lorentz space
Marcinkiewicz-Fejer means
Multiple Walsh-Fourier series

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2004.11.001

Cite this

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title = "Marcinkiewicz-Fejer means of d-dimensional Walsh-Fourier series",

abstract = "The boundedness of Marcinkiewicz maximal operator for d-dimensional Walsh-Fourier series is studied from the martingale Hardy-Lorentz space Hp,q into the Lorentz space Lp,q.",

keywords = "Hardy-Lorentz space, Marcinkiewicz-Fejer means, Multiple Walsh-Fourier series",

author = "Ushangi Goginava",

year = "2005",

month = jul,

day = "1",

doi = "10.1016/j.jmaa.2004.11.001",

language = "English",

volume = "307",

pages = "206--218",

journal = "Journal of Mathematical Analysis and Applications",

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AU - Goginava, Ushangi

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N2 - The boundedness of Marcinkiewicz maximal operator for d-dimensional Walsh-Fourier series is studied from the martingale Hardy-Lorentz space Hp,q into the Lorentz space Lp,q.

AB - The boundedness of Marcinkiewicz maximal operator for d-dimensional Walsh-Fourier series is studied from the martingale Hardy-Lorentz space Hp,q into the Lorentz space Lp,q.

KW - Hardy-Lorentz space

KW - Marcinkiewicz-Fejer means

KW - Multiple Walsh-Fourier series

UR - https://www.scopus.com/pages/publications/18244374200

UR - https://www.scopus.com/pages/publications/18244374200#tab=citedBy

U2 - 10.1016/j.jmaa.2004.11.001

DO - 10.1016/j.jmaa.2004.11.001

M3 - Article

AN - SCOPUS:18244374200

SN - 0022-247X

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SP - 206

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Marcinkiewicz-Fejer means of d-dimensional Walsh-Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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