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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 10, Pages 20–31 (Mi ivm8742)  
Counting functions of zeros of analytic functions in spaces with mixed norm

A. A. Dolgoborodov

Chair № 30 of Higher Mathematics, National Nuclear Research University, Moscow, Russia
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Abstract: We study the behavior of counting functions of zeros of analytic in a disk functions in spaces with mixed norm, in particular, the Bergman–Dzhrbashyan spaces with standard weights. We obtain corollaries that strengthen the known results on zero sets of spaces with mixed norm.
Keywords: zeros of analytic functions, Bergman space, a space with mixed norm.
Received: 19.08.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 10, Pages 15–25
DOI: https://doi.org/10.3103/S1066369X12100027
Bibliographic databases:
Document Type: Article
UDC: 517.538
Language: Russian
Citation: A. A. Dolgoborodov, “Counting functions of zeros of analytic functions in spaces with mixed norm”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 10, 20–31; Russian Math. (Iz. VUZ), 56:10 (2012), 15–25
Citation in format AMSBIB
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\by A.~A.~Dolgoborodov
\paper Counting functions of zeros of analytic functions in spaces with mixed norm
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 10
\pages 20--31
\mathnet{http://mi.mathnet.ru/ivm8742}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137056}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 10
\pages 15--25
\crossref{https://doi.org/10.3103/S1066369X12100027}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84869413896}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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