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.

UDC: 517.538

Received: 19.08.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:10, 15–25

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