Hilbert-Schmidt Hankel Operators over Complete Reinhardt Domains

被引：4
|
作者：
Le, Trieu [1 ]
机构：
[1] Univ Toledo, Dept Math & Stat, Toledo, OH 43606 USA
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2014年 / 78卷 / 04期
关键词：
Bergman space; Hankel operator; Hilbert-Schmidt operator; partial derivative-Neumann operator; WEIGHTED BERGMAN SPACES; UNIT BALL;
D O I：
10.1007/s00020-013-2103-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let be an arbitrary bounded complete Reinhardt domain in . We show that for , if a Hankel operator with an anti-holomorphic symbol is Hilbert-Schmidt on the Bergman space , then it must equal zero. This fact has previously been proved only for strongly pseudoconvex domains and for a certain class of pseudoconvex domains.
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页码：515 / 522
页数：8
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