BMO-Estimation and Almost Everywhere Exponential Summability of Quadratic Partial Sums of Double Fourier Series

U. Goginava; L. Gogoladze; G. Karagulyan

doi:10.1007/s00365-014-9234-6

BMO-Estimation and Almost Everywhere Exponential Summability of Quadratic Partial Sums of Double Fourier Series

U. Goginava
, L. Gogoladze
, G. Karagulyan

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

16 Citations (Scopus)

Abstract

A BMO-estimation for quadratic partial sums of two-dimensional Fourier series is proved from which is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier series.

Original language	English
Pages (from-to)	105-120
Number of pages	16
Journal	Constructive Approximation
Volume	40
Issue number	1
DOIs	https://doi.org/10.1007/s00365-014-9234-6
Publication status	Published - Aug 2014
Externally published	Yes

Keywords

Almost everywhere convergence
BMO-space
Double Fourier series
Exponential means
Quadratic partial sums
Strong summability

ASJC Scopus subject areas

Analysis
General Mathematics
Computational Mathematics

Access to Document

10.1007/s00365-014-9234-6

Cite this

@article{f7145506e3d1453cafed5e2f0aaf5b9a,

title = "BMO-Estimation and Almost Everywhere Exponential Summability of Quadratic Partial Sums of Double Fourier Series",

abstract = "A BMO-estimation for quadratic partial sums of two-dimensional Fourier series is proved from which is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier series.",

keywords = "Almost everywhere convergence, BMO-space, Double Fourier series, Exponential means, Quadratic partial sums, Strong summability",

author = "U. Goginava and L. Gogoladze and G. Karagulyan",

year = "2014",

month = aug,

doi = "10.1007/s00365-014-9234-6",

language = "English",

volume = "40",

pages = "105--120",

journal = "Constructive Approximation",

issn = "0176-4276",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - BMO-Estimation and Almost Everywhere Exponential Summability of Quadratic Partial Sums of Double Fourier Series

AU - Goginava, U.

AU - Gogoladze, L.

AU - Karagulyan, G.

PY - 2014/8

Y1 - 2014/8

N2 - A BMO-estimation for quadratic partial sums of two-dimensional Fourier series is proved from which is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier series.

AB - A BMO-estimation for quadratic partial sums of two-dimensional Fourier series is proved from which is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier series.

KW - Almost everywhere convergence

KW - BMO-space

KW - Double Fourier series

KW - Exponential means

KW - Quadratic partial sums

KW - Strong summability

UR - https://www.scopus.com/pages/publications/84904260686

UR - https://www.scopus.com/pages/publications/84904260686#tab=citedBy

U2 - 10.1007/s00365-014-9234-6

DO - 10.1007/s00365-014-9234-6

M3 - Article

AN - SCOPUS:84904260686

SN - 0176-4276

VL - 40

SP - 105

EP - 120

JO - Constructive Approximation

JF - Constructive Approximation

IS - 1

ER -

BMO-Estimation and Almost Everywhere Exponential Summability of Quadratic Partial Sums of Double Fourier Series

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this