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

被引：36

作者：

Yang Weifeng ^{[1
]}

Yan Weiren ^{[1
]}

机构：

[1] Hunan Inst Engn, Dept Math & Phys, Xiangtan 411104, Hunan, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 48卷 / 06期

关键词：

generalized weighted composition operator; area Nevanlinna space; weighted-type space; ALPHA-BLOCH SPACES; BERGMAN-TYPE SPACES; H-INFINITY; HARDY-SPACES; UNIT BALL; DIFFERENTIATION; PRODUCTS; NORM;

D O I：

10.4134/BKMS.2011.48.6.1195

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 the complex plane C. Let n be a nonnegative integer, phi be an analytic self-map of D and u is an element of H(D). 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 the generalized weighted composition operator from area Nevanlinna spaces to weighted-type spaces and little weighted-type spaces are characterized in tins paper.

引用

页码：1195 / 1205

页数：11

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