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Mat. Sb., 2007, Volume 198, Number 4, Pages 21–46 (Mi msb1440)  
This article is cited in 3 scientific papers (total in 3 papers)

Functions with ball mean values equal to zero on compact two-point homogeneous spaces

Vit. V. Volchkov

Donetsk National University

Abstract: The problem of the description of the class of functions with zero integral over each ball of prescribed radius lying in a fixed ball is solved for compact two-point homogeneous spaces.
Bibliography: 35 titles.

DOI: https://doi.org/10.4213/sm1440

Full text: PDF file (698 kB)
References: PDF file   HTML file

English version:
Sbornik: Mathematics, 2007, 198:4, 465–490

Bibliographic databases:

UDC: 517.988.28
MSC: Primary 26B15, 53C65; Secondary 53C30
Received: 24.11.2005 and 09.10.2006

Citation: Vit. V. Volchkov, “Functions with ball mean values equal to zero on compact two-point homogeneous spaces”, Mat. Sb., 198:4 (2007), 21–46; Sb. Math., 198:4 (2007), 465–490

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. V. Volchkov, Vit. V. Volchkov, “Extremal problems related to the John uniqueness theorem”, St. Petersburg Math. J., 21:5 (2010), 705–729  mathnet  crossref  mathscinet  zmath  isi
    2. V. V. Volchkov, Vit. V. Volchkov, “On a problem of Berenstein–Gay and its generalizations”, Izv. Math., 74:4 (2010), 691–721  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. V. V. Volchkov, Vit. V. Volchkov, “Spherical means on two-point homogeneous spaces and applications”, Izv. Math., 77:2 (2013), 223–252  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
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