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Sbornik: Mathematics, 2008, Volume 199, Issue 1, Pages 45–65
DOI: https://doi.org/10.1070/SM2008v199n01ABEH003910 (Mi sm3783) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Precise characterizations of admissible rate of decrease of a non-trivial function with zero ball means

O. A. Ochakovskaya

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
English version PDF (392 kB) Citations (9)
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DOI: https://doi.org/10.1070/SM2008v199n01ABEH003910
Abstract: Precise characterizations of an admissible rate of decrease of a non-trivial function having zero integrals over all balls of fixed radius are established. The case of an essentially anisotropic behaviour of the function at infinity is considered for the first time. In particular, the function is even allowed to grow exponentially in one variable, which is compensated in a certain sense by its rapid decrease in other variables.
Bibliography: 17 titles.
Received: 19.10.2006 and 12.07.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 1, Pages 47–66
DOI: https://doi.org/10.4213/sm3783
Bibliographic databases:
UDC: 517.444
MSC: Primary 26B15, 43A85; Secondary 53C65
Language: English
Original paper language: Russian
Citation: O. A. Ochakovskaya, “Precise characterizations of admissible rate of decrease of a non-trivial function with zero ball means”, Mat. Sb., 199:1 (2008), 47–66; Sb. Math., 199:1 (2008), 45–65
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2008v199n01ABEH003910
  • https://www.mathnet.ru/eng/sm/v199/i1/p47
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:473
    Russian version PDF:208
    English version PDF:15
    References:71
    First page:6
     
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