Almost everywhere convergence of dyadic triangular-fejér means of two-dimensional walsh-fourier series

György Gát; Ushangi Goginava

doi:10.7153/mia-19-32

Almost everywhere convergence of dyadic triangular-fejér means of two-dimensional walsh-fourier series

György Gát, Ushangi Goginava

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

3 Citations (Scopus)

Abstract

It is proved that the maximal operators of the dyadic triangular-Fej Ler means of twodimensional Walsh-Fourier series is of weak type (1,1). Moreover, the dyadic triangular-Fej Ler means of the function fεL₁ converge almost everywhere to f as n→∞.

Original language	English
Pages (from-to)	401-415
Number of pages	15
Journal	Mathematical Inequalities and Applications
Volume	19
Issue number	2
DOIs	https://doi.org/10.7153/mia-19-32
Publication status	Published - Apr 2016
Externally published	Yes

Keywords

Almost everywhere summability
Hardy spaces
Triangular means
Two-dimensional Walsh system

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.7153/mia-19-32

Cite this

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title = "Almost everywhere convergence of dyadic triangular-fej{\'e}r means of two-dimensional walsh-fourier series",

abstract = "It is proved that the maximal operators of the dyadic triangular-Fej Ler means of twodimensional Walsh-Fourier series is of weak type (1,1). Moreover, the dyadic triangular-Fej Ler means of the function fεL1 converge almost everywhere to f as n→∞.",

keywords = "Almost everywhere summability, Hardy spaces, Triangular means, Two-dimensional Walsh system",

author = "Gy{\"o}rgy G{\'a}t and Ushangi Goginava",

year = "2016",

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doi = "10.7153/mia-19-32",

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journal = "Mathematical Inequalities and Applications",

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T1 - Almost everywhere convergence of dyadic triangular-fejér means of two-dimensional walsh-fourier series

AU - Gát, György

AU - Goginava, Ushangi

PY - 2016/4

Y1 - 2016/4

N2 - It is proved that the maximal operators of the dyadic triangular-Fej Ler means of twodimensional Walsh-Fourier series is of weak type (1,1). Moreover, the dyadic triangular-Fej Ler means of the function fεL1 converge almost everywhere to f as n→∞.

AB - It is proved that the maximal operators of the dyadic triangular-Fej Ler means of twodimensional Walsh-Fourier series is of weak type (1,1). Moreover, the dyadic triangular-Fej Ler means of the function fεL1 converge almost everywhere to f as n→∞.

KW - Almost everywhere summability

KW - Hardy spaces

KW - Triangular means

KW - Two-dimensional Walsh system

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JF - Mathematical Inequalities and Applications

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ER -

Almost everywhere convergence of dyadic triangular-fejér means of two-dimensional walsh-fourier series

Abstract

Keywords

ASJC Scopus subject areas

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