On generalized Toeplitz and little Hankel operators on Bergman spaces

被引：7

作者：

Taskinen, Jari ^{[1
]}

Virtanen, Jani ^{[2
]}

机构：

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

[2] Univ Reading, Dept Math, POB 220 Whiteknights, Reading RG6 6AX, Berks, England

来源：

ARCHIV DER MATHEMATIK | 2018年 / 110卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Toeplitz operator; Little Hankel operator; Bergman space; Boundedness; Compactness; SYMBOLS;

D O I：

10.1007/s00013-017-1124-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find a concrete integral formula for the class of generalized Toeplitz operators in Bergman spaces , , studied in an earlier work by the authors. The result is extended to little Hankel operators. We give an example of an -symbol a such that fails to be bounded in , although is seen to be bounded by using the generalized definition. We also confirm that the generalized definition coincides with the classical one whenever the latter makes sense.

引用

页码：155 / 166

页数：12

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