Compact composition operators on Besov spaces

被引：105

作者：

Tjani, M ^{[1
]}

机构：

[1] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA

[2] Michigan State Univ, E Lansing, MI 48824 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 355卷 / 11期

关键词：

D O I：

10.1090/S0002-9947-03-03354-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a Carleson measure characterization of the compact composition operators on Besov spaces. We use this characterization to show that every compact composition operator on a Besov space is compact on the Bloch space. Finally we give conditions that guarantee that the converse holds.

引用

页码：4683 / 4698

页数：16

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