Weak type inequality for the maximal operator of the (C, α) means of two-dimensional Walsh-Fourier series

Ushangi Goginava

doi:10.1007/s10476-010-0101-9

Weak type inequality for the maximal operator of the (C, α) means of two-dimensional Walsh-Fourier series

Ushangi Goginava

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

7 Citations (Scopus)

Abstract

The main aim of this paper is to prove that the maximal operator σ_*^α of the (C, α) means of the cubical partial sums of the two-dimensional Walsh-Fourier series is bounded from the Hardy space H_2/(2+α) to the space weak-L_2/(2+α).

Original language	English
Pages (from-to)	1-31
Number of pages	31
Journal	Analysis Mathematica
Volume	36
Issue number	1
DOIs	https://doi.org/10.1007/s10476-010-0101-9
Publication status	Published - Mar 2010
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/s10476-010-0101-9

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abstract = "The main aim of this paper is to prove that the maximal operator σ*α of the (C, α) means of the cubical partial sums of the two-dimensional Walsh-Fourier series is bounded from the Hardy space H2/(2+α) to the space weak-L2/(2+α).",

author = "Ushangi Goginava",

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Weak type inequality for the maximal operator of the (C, α) means of two-dimensional Walsh-Fourier series

Abstract

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