Note on Hilbert-Schmidt composition operators on weighted Hardy spaces

被引：0
|
作者：
Mitsis, Themis [1 ]
机构：
[1] Univ Crete, Dept Math, GR-71409 Iraklion, Greece
来源：
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2006年 / 13卷 / 04期
关键词：
Hilbert-Schmidt composition operator; capacity;
D O I：
10.36045/bbms/1168957349
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that if C-phi is a Hilbert-Schmidt composition operator oil all appropriately weighted Hardy space, then there exists a capacity, associated to the weight sequence of the space, so that the set oil which the radial limit of phi is unimodular has capacity zero. This extends recent results by Gallardo-Gutierrez and Gonzalez.
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页码：739 / 742
页数：4
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