PRODUCTS OF RADIAL DERIVATIVE AND WEIGHTED COMPOSITION OPERATORS FROM WEIGHTED BERGMAN-ORLICZ SPACES TO WEIGHTED-TYPE SPACES

被引：10
|
作者：
Jiang, Zhi-jie [1 ]
Wang, Xiao-feng [2 ]
机构：
[1] Sichuan Univ Sci & Engn, Sch Math & Stat, Zigong 643000, Sichuan, Peoples R China
[2] Guangzhou Univ, Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
来源：
OPERATORS AND MATRICES | 2018年 / 12卷 / 02期
关键词：
Weighted Bergman-Oiiicz spaces; weighted composition operators; radial derivative operators; products of radial derivative and weighted composition operators; weighted-type spaces; DIFFERENTIATION COMPOSITION OPERATORS; ALPHA-BLOCH SPACES; H-INFINITY; NORM; NEVANLINNA;
D O I：
10.7153/oam-2018-12-20
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let H(B-n) be the space of all holomorphic functions on the unit ball B-n of C-n, phi a holomorphic self-map of B-n, u is an element of H(B-n), and R the radial derivative operator on H(B-n). Two operators on H(B-n) are defined by RWu,phi f(z) = R (u(z) f(phi(z))) and W-u,W-phi Rf(z) = u(z)Rf(phi(z)), which are called the products of radial derivative operators and weighted composition operators. In this paper, the boundedness and compactness of the operators RWu,phi and Wu,phi R from weighted Bergman-Orlicz spaces to a class of weighted-type spaces are characterized.
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页码：301 / 319
页数：19
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