Hausdorff matrices and composition operators

被引：22

作者：

Galanopoulos, P ^{[1
]}

Siskakis, AG ^{[1
]}

机构：

[1] Univ Thessaloniki, Dept Math, GR-54006 Thessaloniki, Greece

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2001年 / 45卷 / 03期

关键词：

D O I：

10.1215/ijm/1258138149

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Hausdorff matrices as operators on Hardy spaces of analytic functions. When the generating sequence of the matrix is the moment sequence of a measure mu, we find conditions on mu such that the matrix represents a bounded operator. The results unify and extend some known special cases of operators on Hardy spaces such as the Cesaro and generalized Cesaro operators.

引用

页码：757 / 773

页数：17

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