This article is cited in 3 papers

On the Zeros of Functions from Bergman Spaces and Some Related Spaces

A. A. Dolgoborodov

Moscow Engineering Physics Institute (National Nuclear Research University)

Abstract: We obtain sharp necessary conditions on the counting function of zeros of analytic functions from Bergman spaces with standard weight and from spaces which are their natural generalization.

Keywords: analytic function, Bergman space of functions, counting function of zeros, Abel transformation, Jensen's inequality, Jensen's formula.

UDC: 517.53

Received: 02.07.2009

DOI: 10.4213/mzm8577

 English version: Mathematical Notes, 2010, 88:2, 183–197

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