Maximal (C, α, β) operators of two-dimensional walsh-fourier series

Ushangi Goginava

Maximal (C, α, β) operators of two-dimensional walsh-fourier series

Ushangi Goginava

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

Abstract

The main aim of this paper is to prove that for the boundedness of the maximal operator σ*^α,β from the Hardy space H^p (I²) to the space L_p (I²) the assumption p > max {1/ (α + 1), 1/ (β + 1)} is essential.

Original language	English
Pages (from-to)	209-214
Number of pages	6
Journal	Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis
Volume	24
Issue number	2
Publication status	Published - 2008
Externally published	Yes

Keywords

Hardy space
Maximal operator
Walsh function

ASJC Scopus subject areas

General Mathematics
Education

Cite this

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abstract = "The main aim of this paper is to prove that for the boundedness of the maximal operator σ*α,β from the Hardy space Hp (I2) to the space Lp (I2) the assumption p > max \{1/ (α + 1), 1/ (β + 1)\} is essential.",

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author = "Ushangi Goginava",

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AB - The main aim of this paper is to prove that for the boundedness of the maximal operator σ*α,β from the Hardy space Hp (I2) to the space Lp (I2) the assumption p > max {1/ (α + 1), 1/ (β + 1)} is essential.

KW - Hardy space

KW - Maximal operator

KW - Walsh function

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SN - 1786-0091

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JO - Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis

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ER -

Maximal (C, α, β) operators of two-dimensional walsh-fourier series

Abstract

Keywords

ASJC Scopus subject areas

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