Convergence in norm of logarithmic means of multiple fourier series

Ushangi Goginava; Larry Gogoladze

doi:10.7153/mia-18-62

Convergence in norm of logarithmic means of multiple fourier series

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

Abstract

The maximal Orlicz space such that the mixed logarithmic means of multiple Fourier series for the functions from this space converge in L₁-norm is found.

Original language	English
Pages (from-to)	859-867
Number of pages	9
Journal	Mathematical Inequalities and Applications
Volume	18
Issue number	3
DOIs	https://doi.org/10.7153/mia-18-62
Publication status	Published - Jul 1 2015
Externally published	Yes

Keywords

Convergence in norm
Double Fourier series
Orlicz space

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.7153/mia-18-62

Cite this

@article{ec5d47a4756d439e9c5f99f6f51e8d08,

title = "Convergence in norm of logarithmic means of multiple fourier series",

abstract = "The maximal Orlicz space such that the mixed logarithmic means of multiple Fourier series for the functions from this space converge in L1-norm is found.",

keywords = "Convergence in norm, Double Fourier series, Orlicz space",

author = "Ushangi Goginava and Larry Gogoladze",

note = "Publisher Copyright: {\textcopyright} Element.",

year = "2015",

month = jul,

day = "1",

doi = "10.7153/mia-18-62",

language = "English",

volume = "18",

pages = "859--867",

journal = "Mathematical Inequalities and Applications",

issn = "1331-4343",

publisher = "Element d.o.o.",

number = "3",

}

TY - JOUR

T1 - Convergence in norm of logarithmic means of multiple fourier series

AU - Goginava, Ushangi

AU - Gogoladze, Larry

N1 - Publisher Copyright: © Element.

PY - 2015/7/1

Y1 - 2015/7/1

N2 - The maximal Orlicz space such that the mixed logarithmic means of multiple Fourier series for the functions from this space converge in L1-norm is found.

AB - The maximal Orlicz space such that the mixed logarithmic means of multiple Fourier series for the functions from this space converge in L1-norm is found.

KW - Convergence in norm

KW - Double Fourier series

KW - Orlicz space

UR - http://www.scopus.com/inward/record.url?scp=84929311737&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84929311737&partnerID=8YFLogxK

U2 - 10.7153/mia-18-62

DO - 10.7153/mia-18-62

M3 - Article

AN - SCOPUS:84929311737

SN - 1331-4343

VL - 18

SP - 859

EP - 867

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 3

ER -

Convergence in norm of logarithmic means of multiple fourier series

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this