Counting functions of zeros of analytic functions in spaces with mixed norm
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2012), pp. 20-31
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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.
@article{IVM_2012_10_a1,
author = {A. A. Dolgoborodov},
title = {Counting functions of zeros of analytic functions in spaces with mixed norm},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {20--31},
publisher = {mathdoc},
number = {10},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2012_10_a1/}
}
A. A. Dolgoborodov. Counting functions of zeros of analytic functions in spaces with mixed norm. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2012), pp. 20-31. http://geodesic.mathdoc.fr/item/IVM_2012_10_a1/