New results and open problems on Toeplitz operators in Bergman spaces

被引：0

作者：

Perala, A. ^{[1
]}

Taskinen, J. ^{[1
]}

Virtanen, J. A. ^{[2
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland

[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA

来源：

NEW YORK JOURNAL OF MATHEMATICS | 2011年 / 17A卷

基金：

芬兰科学院;

关键词：

Toeplitz operators; Hankel operators; Bergman spaces; bounded operators; compact operators; Fredholm properties; matrix-valued symbols; distributions; weighted Sobolev spaces; radial symbols; open problems; HANKEL-OPERATORS; BMO;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss some of the recent progress in the field of Toeplitz operators acting on Bergman spaces of the unit disk, formulate some new results, and describe a list of open problems - concerning boundedness, compactness and Fredholm properties - which was presented at the conference "Recent Advances in Function Related Operator Theory" in Puerto Rico in March 2010.

引用

页码：147 / 164

页数：18

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