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.

引用

页码：515 / 522

页数：8

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