Weighted differentiation composition operators from H∞ to Zygmund spaces

被引：12

作者：

Yu, Yanyan ^{[2
]}

Liu, Yongmin ^{[1
]}

机构：

[1] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Peoples R China

[2] Xuzhou Inst Technol, Sch Math & Phys Sci, Xuzhou 221008, Peoples R China

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2011年 / 22卷 / 07期

基金：

中国国家自然科学基金;

关键词：

boundedness; compactness; weighted differentiation composition operators; bounded analytic function; Zygmund space; BLOCH-TYPE SPACES; INTEGRAL-TYPE OPERATORS; MIXED-NORM SPACES; GENERALIZED COMPOSITION OPERATORS; UNIT BALL; BERGMAN SPACES; HARDY-SPACES; PRODUCTS;

D O I：

10.1080/10652469.2010.532198

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let phi be an analytic self-map of the unit disk D, H(D) the space of analytic functions on D and u is an element of H(D). The boundedness and compactness of the weighted differentiation composition operator D-phi,u(n), where n is an element of N-0, from H-infinity to Zygmund space are investigated in this paper.

引用

页码：507 / 520

页数：14

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