Bounded Toeplitz products on weighted Bergman spaces

被引：0

作者：

Stroethoff, Karel ^{[1
]}

Zheng, Dechao ^{[2
]}

机构：

[1] Univ Montana, Dept Math Sci, Missoula, MT 59812 USA

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

JOURNAL OF OPERATOR THEORY | 2008年 / 59卷 / 02期

关键词：

Toeplitz operator; weighted Bergman spaces; unit disk; Berezin transform; bounded; invertible; and Fredholm operators;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the question for which square integrable analytic functions f and g on the unit disk the densely defined products T-f T-g are bounded on the Bergman space. We prove results analogous to those we obtained in the setting of the unweighted Bergman space [17]. We will furthermore completely describe when the Toephtz; product T-f T-g is invertible or Fredholm and prove results generalizing those we obtained for the unweighted Bergman space in [18].

引用

页码：277 / 308

页数：32

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