Zeros sets and radial zero sets in function spaces
type: Item
instance of: scholarly article
title: Zeros sets and radial zero sets in function spaces
zbMATH Open document ID: 0837.30008
DOI: 10.1007/BF02788769
author: Charles Horowitz
published in: Journal d'Analyse Mathématique
publication date: 1996-05-13T00:00:00Z
review text: Functions \(f\) analytic in the unit disc are considered. There exists earlier results with integral conditions, where the set of zeros can be characterized in terms of moduli alone and other cases, where the angular distribution comes in. The latter is here shown to occur for a large class of functions with pointwise estimates of \(|f(z)|\). The method is to show that all zeros cannot be located on one radius, a case with integral containing a weight function is also taken up.
Mathematics Subject Classification ID: 30C15
Mathematics Subject Classification ID: 30D50
zbMATH DE Number: 807404
reviewed by: Bo Kjellberg
MaRDI profile type: Publication
cites work: Zero sets and random zero sets in certain function spaces
cites work: An extension of the Riesz-Herglotz formula
cites work: A criterical growth rate for functions regular in a disk
cites work: The zeros of functions in Nevanlinna's area class
cites work: On the zeros of functions with finite Dirichlet integral and some related function spaces
full work available at URL: https://doi.org/10.1007/bf02788769
OpenAlex ID: W2031586503
description: scientific article; zbMATH DE number 807404