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Sbornik: Mathematics, 2011, Volume 202, Issue 8, Pages 1085–1103
DOI: https://doi.org/10.1070/SM2011v202n08ABEH004179 (Mi sm7684) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Extremal properties of sequences of zeros of analytic functions in spaces with mixed norm

A. A. Dolgoborodov, E. A. Sevast'yanov

National Engineering Physics Institute "MEPhI", Moscow
English version PDF (344 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2011v202n08ABEH004179
Abstract: Functions whose sequences of absolute values of zeros have certain extremal properties are constructed in Bergmann spaces with powerlike weight and in more general spaces with mixed norm. These properties can be expressed in terms of subsequences with indices satisfying certain necessary and sufficient conditions. In particular, using these functions it is possible to distinguish between the zero sets of the spaces in question in some cases which have not previously been investigated. This reveals the significant role which subsequences of zeros in general play in the solution of this type of problems.
Bibliography: 8 titles.
Keywords: Bergmann spaces, zeros of analytic functions.
Received: 28.01.2010 and 26.05.2011
Russian version:
Matematicheskii Sbornik, 2011, Volume 202, Number 8, Pages 3–20
DOI: https://doi.org/10.4213/sm7684
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30C15
Language: English
Original paper language: Russian
Citation: A. A. Dolgoborodov, E. A. Sevast'yanov, “Extremal properties of sequences of zeros of analytic functions in spaces with mixed norm”, Mat. Sb., 202:8 (2011), 3–20; Sb. Math., 202:8 (2011), 1085–1103
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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