Analysis Mathematica
Volume/Issue:
Volume 38: Issue 3
О расходимости кратных рядов Хаара
Author:
G. Oniani Department of Mathematics, Akaki Tsereteli State University, Tamar Mepe St. 59, Kutaisi, 4600 Georgia

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Pages:
227–247
Online Publication Date:
13 Aug 2012
Publication Date:
01 Sep 2012
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10476-012-0305-2
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Abstract  

It is proved that for any dimension n ≥ 2, L(ln+L)n−1 is the widest integral class in which the almost everywhere convergence of spherical partial sums of multiple Fourier-Haar series is provided. Moreover,it is shown that the divergence effects of rectangular and spherical general terms of multiple Fourier-Haar series can be achieved simultaneously on a set of full measure by an appropriate rearrangement of values of arbitrary summable function f not belonging to L(ln+L)n−1.

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Cover Analysis Mathematica
Analysis Mathematica
Print ISSN:
0133-3852
Online ISSN:
1588-273X

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Analysis Mathematica
Language English
Size B5
Year of
Foundation		 1975
Volumes
per Year		 1
Issues
per Year		 4
Founder Akadémiai Kiadó
Founder's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)

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