Generalized weighted composition operators from α-Bloch spaces into weighted-type spaces

被引:37
|
作者
Li, Songxiao [1 ]
Stevic, Stevo [2 ,3 ]
机构
[1] Macau Univ Sci & Technol, Inst Syst Engn, Taipa, Macau, Peoples R China
[2] Serbian Acad Sci, Math Inst, Knez Mihailova 36-3, Beograd 11000, Serbia
[3] King Abdulaziz Univ, Dept Math, Operator Theory & Applicat Res Grp, Jeddah 21589, Saudi Arabia
关键词
generalized weighted composition operators; weighted-type space; alpha-Bloch space; boundedness; compactness; essential norm; COMPACT COMPOSITION OPERATORS; DIFFERENTIATION OPERATORS; ESSENTIAL NORMS; H-INFINITY; PRODUCTS; BERGMAN;
D O I
10.1186/s13660-015-0770-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Some criteria for the boundedness, as well as for the compactness, of the generalized weighted composition operator D-phi u(n) from alpha-Bloch spaces into weighted-type spaces are given. Estimates for the norm and the essential norm of the operator are also given. Our results extend and complement some results in the literature.
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页数:12
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