GENERALIZED WEIGHTED COMPOSITION OPERATORS FROM AREA NEVANLINNA SPACES TO BLOCH-TYPE SPACES

被引：38
|
作者：
Yang, Weifeng [1 ]
Zhu, Xiangling [2 ]
机构：
[1] Hunan Inst Engn, Dept Math & Phys, Xiangtan 411004, Hunan, Peoples R China
[2] JiaYing Univ, Dept Math, Meizhou 514015, Guangdong, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 03期
关键词：
Generalized weighted composition operator; Area Nevanlinna space; Bloch-type Space; BERGMAN-TYPE SPACES; H-INFINITY; DIFFERENTIATION;
D O I：
10.11650/twjm/1500406662
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let H(D) denote the class of all analytic functions on the open unit disk ID of C. Let phi be an analytic self-map of D and u epsilon H(1[1). The generalized weighted composition operator is defined by D(phi,u)(n)f = uf((n)) o phi, f is an element of H(D). The boundedness and compactness of generalized weighted composition operators from area Nevanlinna spaces to Bloch-type spaces and little Bloch-type spaces are characterized in this paper.
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页码：869 / 883
页数：15
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