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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 10, Pages 20–31
(Mi ivm8742)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/ivm8742 https://www.mathnet.ru/eng/ivm/y2012/i10/p20
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Abstract page: | 227 | Full-text PDF : | 52 | References: | 37 | First page: | 4 |
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