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Matematicheskie Zametki, 2009, Volume 86, Issue 1, Pages 95–109
DOI: https://doi.org/10.4213/mzm5244 (Mi mzm5244) 		 
This article is cited in 5 scientific papers (total in 6 papers)

On the Distribution of Zeros of Functions from Weighted Bergman Spaces

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

Moscow Engineering Physics Institute (State University)
Full-text PDF (539 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm5244
Abstract: We refine some well-known necessary characteristics of zero sets of functions from weighted Bergman spaces under sufficiently general conditions on weights.
Keywords: Bergman space, analytic function, zero set, Jensen's formula, regularly varying function, Taylor coefficients.
Received: 10.07.2008
Revised: 13.01.2009
English version:
Mathematical Notes, 2009, Volume 86, Issue 1, Pages 93–106
DOI: https://doi.org/10.1134/S0001434609070098
Bibliographic databases:
UDC: 517.53
Language: Russian
Citation: E. A. Sevast'yanov, A. A. Dolgoborodov, “On the Distribution of Zeros of Functions from Weighted Bergman Spaces”, Mat. Zametki, 86:1 (2009), 95–109; Math. Notes, 86:1 (2009), 93–106
Citation in format AMSBIB
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\pages 95--109
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Linking options:
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  • https://doi.org/10.4213/mzm5244
  • https://www.mathnet.ru/eng/mzm/v86/i1/p95
    Erratum
    This publication is cited in the following 6 articles:
    1. E. A. Sevast'yanov, “On zeros of functions rapidly growing in generalized Bergman spaces”, Russian Math. (Iz. VUZ), 61:11 (2017), 40–52  mathnet  crossref  isi
    2. 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
    3. E. A. Sevast'yanov, A. A. Dolgoborodov, “Letter to the Editor”, Math. Notes, 94:2 (2013), 301–304  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    4. 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
    5. Dolgoborodov A.A., “On a theorem of C. Horowitz on the zeros of functions in Bergman spaces”, Anal Math, 36:4 (2010), 251–273  crossref  mathscinet  zmath  isi  scopus
    6. A. A. Dolgoborodov, “On the Zeros of Functions from Bergman Spaces and Some Related Spaces”, Math. Notes, 88:2 (2010), 183–197  mathnet  mathnet  crossref  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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