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Matematicheskie Zametki, 2010, Volume 88, Issue 2, Pages 201–216
DOI: https://doi.org/10.4213/mzm8577
(Mi mzm8577)
 

This article is cited in 3 scientific papers (total in 3 papers)

On the Zeros of Functions from Bergman Spaces and Some Related Spaces

A. A. Dolgoborodov

Moscow Engineering Physics Institute (National Nuclear Research University)
Full-text PDF (494 kB) Citations (3)
References:
Abstract: We obtain sharp necessary conditions on the counting function of zeros of analytic functions from Bergman spaces with standard weight and from spaces which are their natural generalization.
Keywords: analytic function, Bergman space of functions, counting function of zeros, Abel transformation, Jensen's inequality, Jensen's formula.
Received: 02.07.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 2, Pages 183–197
DOI: https://doi.org/10.1134/S0001434610070187
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: A. A. Dolgoborodov, “On the Zeros of Functions from Bergman Spaces and Some Related Spaces”, Mat. Zametki, 88:2 (2010), 201–216; Math. Notes, 88:2 (2010), 183–197
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm8577
  • https://doi.org/10.4213/mzm8577
  • https://www.mathnet.ru/eng/mzm/v88/i2/p201
  • This publication is cited in the following 3 articles:
    1. E. A. Sevast'yanov, A. A. Dolgoborodov, “Zeros of Functions in Weighted Spaces with Mixed Norm”, Math. Notes, 94:2 (2013), 266–280  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    2. A. A. Dolgoborodov, “Counting functions of zeros of analytic functions in spaces with mixed norm”, Russian Math. (Iz. VUZ), 56:10 (2012), 15–25  mathnet  crossref  mathscinet
    3. A. A. Dolgoborodov, E. A. Sevast'yanov, “Extremal properties of sequences of zeros of analytic functions in spaces with mixed norm”, Sb. Math., 202:8 (2011), 1085–1103  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:393
    Full-text PDF :168
    References:58
    First page:13
     
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