DERIVATIVE-FREE CHARACTERIZATIONS OF COMPACT GENERALIZED COMPOSITION OPERATORS BETWEEN ZYGMUND TYPE SPACES

被引：15

作者：

Lindstrom, Mikael ^{[1
]}

Sanatpour, Amir H. ^{[2
]}

机构：

[1] Univ Oulu, Dept Math Sci, Oulu 90014, Finland

[2] Tarbiat Moallem Univ, Dept Math, Tehran 15618, Iran

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2010年 / 81卷 / 03期

关键词：

Zygmund spaces; Lipschitz spaces; weighted composition operators; generalized composition operators; WEIGHTED COMPOSITION OPERATORS; LIPSCHITZ-TYPE SPACES; BLOCH-TYPE SPACES; HOLOMORPHIC-FUNCTIONS; ANALYTIC-FUNCTIONS; EQUIVALENT NORMS; BANACH-SPACES;

D O I：

10.1017/S0004972709001221

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give derivative-free characterizations for bounded and compact generalized composition operators between (little) Zygmund type spaces. To obtain these results, we extend Pavlovics corresponding result for bounded composition operators between analytic Lipschitz spaces.

引用

页码：398 / 408

页数：11

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