The weak type inequality for the maximal operator of the Marcinkiewicz-Fejér means of the two-dimensional Walsh-Fourier series

Ushangi Goginava

doi:10.1016/j.jat.2008.03.012

The weak type inequality for the maximal operator of the Marcinkiewicz-Fejér means of the two-dimensional Walsh-Fourier series

Ushangi Goginava

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

30 Citations (Scopus)

Abstract

The main aim of this paper is to prove that the maximal operator σ^* of the Marcinkiewicz-Fejér means of the two-dimensional Walsh-Fourier series is bounded from the Hardy space H_{2 / 3} to the space weak-L_{2 / 3}.

Original language	English
Pages (from-to)	161-180
Number of pages	20
Journal	Journal of Approximation Theory
Volume	154
Issue number	2
DOIs	https://doi.org/10.1016/j.jat.2008.03.012
Publication status	Published - Oct 2008
Externally published	Yes

Keywords

Hardy space
Marcinkiewicz-Fejér means
Walsh function

ASJC Scopus subject areas

Analysis
Numerical Analysis
General Mathematics
Applied Mathematics

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10.1016/j.jat.2008.03.012

Cite this

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title = "The weak type inequality for the maximal operator of the Marcinkiewicz-Fej{\'e}r means of the two-dimensional Walsh-Fourier series",

abstract = "The main aim of this paper is to prove that the maximal operator σ* of the Marcinkiewicz-Fej{\'e}r means of the two-dimensional Walsh-Fourier series is bounded from the Hardy space H2 / 3 to the space weak-L2 / 3.",

keywords = "Hardy space, Marcinkiewicz-Fej{\'e}r means, Walsh function",

author = "Ushangi Goginava",

year = "2008",

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doi = "10.1016/j.jat.2008.03.012",

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AB - The main aim of this paper is to prove that the maximal operator σ* of the Marcinkiewicz-Fejér means of the two-dimensional Walsh-Fourier series is bounded from the Hardy space H2 / 3 to the space weak-L2 / 3.

KW - Hardy space

KW - Marcinkiewicz-Fejér means

KW - Walsh function

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UR - https://www.scopus.com/pages/publications/56049123121#tab=citedBy

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SP - 161

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The weak type inequality for the maximal operator of the Marcinkiewicz-Fejér means of the two-dimensional Walsh-Fourier series

Abstract

Keywords

ASJC Scopus subject areas

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