Almost Everywhere Strong Summability of Fejér Means of Rectangular Partial Sums of Two-dimensional Walsh-Fourier Series

U. Goginava

doi:10.3103/S106836231802005X

Almost Everywhere Strong Summability of Fejér Means of Rectangular Partial Sums of Two-dimensional Walsh-Fourier Series

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

Abstract

In this paper we prove a BMO-estimate for rectangular partial sums of two-dimensional Walsh-Fourier series, and using this result we establish almost everywhere exponential summability of rectangular partial sums of double Walsh-Fourier series.

Original language	English
Pages (from-to)	100-112
Number of pages	13
Journal	Journal of Contemporary Mathematical Analysis
Volume	53
Issue number	2
DOIs	https://doi.org/10.3103/S106836231802005X
Publication status	Published - Mar 2018
Externally published	Yes

Keywords

42C10
a.e. summability
strong summability
Two-dimensional Walsh system

ASJC Scopus subject areas

Analysis
Control and Optimization
Applied Mathematics

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10.3103/S106836231802005X

Cite this

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title = "Almost Everywhere Strong Summability of Fej{\'e}r Means of Rectangular Partial Sums of Two-dimensional Walsh-Fourier Series",

abstract = "In this paper we prove a BMO-estimate for rectangular partial sums of two-dimensional Walsh-Fourier series, and using this result we establish almost everywhere exponential summability of rectangular partial sums of double Walsh-Fourier series.",

keywords = "42C10, a.e. summability, strong summability, Two-dimensional Walsh system",

author = "U. Goginava",

note = "Publisher Copyright: {\textcopyright} 2018, Allerton Press, Inc.",

year = "2018",

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doi = "10.3103/S106836231802005X",

language = "English",

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N2 - In this paper we prove a BMO-estimate for rectangular partial sums of two-dimensional Walsh-Fourier series, and using this result we establish almost everywhere exponential summability of rectangular partial sums of double Walsh-Fourier series.

AB - In this paper we prove a BMO-estimate for rectangular partial sums of two-dimensional Walsh-Fourier series, and using this result we establish almost everywhere exponential summability of rectangular partial sums of double Walsh-Fourier series.

KW - 42C10

KW - a.e. summability

KW - strong summability

KW - Two-dimensional Walsh system

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Almost Everywhere Strong Summability of Fejér Means of Rectangular Partial Sums of Two-dimensional Walsh-Fourier Series

Abstract

Keywords

ASJC Scopus subject areas

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