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Sbornik: Mathematics, 1997, Volume 188, Issue 9, Pages 1279–1294
DOI: https://doi.org/10.1070/sm1997v188n09ABEH000255 (Mi sm255) 		 
This article is cited in 41 scientific papers (total in 41 papers)

Solution of the support problem for several function classes

V. V. Volchkov

Donetsk National University
English version PDF (249 kB) Citations (41) Russian version article
References:
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DOI: https://doi.org/10.1070/sm1997v188n09ABEH000255
Abstract: Several classes of functions with zero integrals over all balls of a fixed radius are studied. A description of functions in such classes as series in special functions is obtained and a theorem on a removable singularity is proved. These results make it possible to solve completely the support problem for several classes of functions with zero ball averages. As a consequence, a far-reaching generalization of the well-known Zalcman's two-radii theorem is obtained.
Received: 21.10.1996
Bibliographic databases:
UDC: 517.5
MSC: 53C65, 44A35
Language: English
Original paper language: Russian
Citation: V. V. Volchkov, “Solution of the support problem for several function classes”, Sb. Math., 188:9 (1997), 1279–1294
Citation in format AMSBIB
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\by V.~V.~Volchkov
\paper Solution of the~support problem for several function classes
\jour Sb. Math.
\yr 1997
\vol 188
\issue 9
\pages 1279--1294
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    • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:210
    English version PDF:40
    References:59
    First page:1
     
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