E. A. Sevast'yanov, A. A. Dolgoborodov, “On the Distribution of Zeros of Functions from Weighted Bergman Spaces”, Mat. Zametki, 2009, Volume 86, Issue 1,Pages <nobr>95

This article is cited in 5 papers

On the Distribution of Zeros of Functions from Weighted Bergman Spaces

E. A. Sevast'yanov, A. A. Dolgoborodov

Moscow Engineering Physics Institute (State University)

Abstract: We refine some well-known necessary characteristics of zero sets of functions from weighted Bergman spaces under sufficiently general conditions on weights.

Keywords: Bergman space, analytic function, zero set, Jensen's formula, regularly varying function, Taylor coefficients.

UDC: 517.53

Received: 10.07.2008
Revised: 13.01.2009

DOI: 10.4213/mzm5244