Boundedness, Compactness and Schatten-class Membership of Weighted Composition Operators

被引：19

作者：

Gallardo-Gutierrez, E. A. ^{[2
,3
]}

Kumar, R. ^{[4
]}

Partington, J. R. ^{[1
]}

机构：

[1] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England

[2] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain

[3] IUMA, Zaragoza, Spain

[4] Univ Jammu, Dept Math, Jammu 180001, India

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2010年 / 67卷 / 04期

关键词：

Weighted composition operators; Carleson embeddings; reproducing kernels; angular derivative; DIFFERENT HARDY-SPACES; REPRODUCING KERNELS; BERGMAN SPACES; CONJECTURE;

D O I：

10.1007/s00020-010-1795-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The boundedness and compactness of weighted composition operators on the Hardy space H(2) of the unit disc is analysed. Particular reference is made to the case when the self-map of the disc is an inner function. Schatten-class membership is also considered; as a result, stronger forms of the two main results of a recent paper of Gunatillake are derived. Finally, weighted composition operators on weighted Bergman spaces A(alpha)(2)(D) are considered, and the results of Harper and Smith, linking their properties to those of Carleson embeddings, are extended to this situation.

引用

页码：467 / 479

页数：13

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