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

被引：40
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
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年
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
相关论文
共 31 条
[1]  
[Anonymous], 2000, GRAD TEXT M
[2]   BIDUALS OF WEIGHTED BANACH-SPACES OF ANALYTIC-FUNCTIONS [J].
BIERSTEDT, KD ;
SUMMERS, WH .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1993, 54 :70-79
[3]  
Cowen Jr Carl C., 2019, Composition operators on spaces of analytic functions
[4]   Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball [J].
Galindo, Pablo ;
Lindstrom, Mikael ;
Stevic, Stevo .
ABSTRACT AND APPLIED ANALYSIS, 2011,
[5]   Composition followed by differentiation between Bergman and Hardy spaces [J].
Hibschweiler, RA ;
Portnoy, N .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2005, 35 (03) :843-855
[6]  
Kirillov A. A., 1982, Problem books in mathematics
[7]  
Li SX, 2007, J COMPUT ANAL APPL, V9, P195
[8]   Products of composition and differentiation operators from Zygmund spaces to Bloch spaces and Bers spaces [J].
Li, Songxiao ;
Stevic, Stevo .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) :3144-3154
[9]  
Li SX, 2009, HOUSTON J MATH, V35, P327
[10]   Composition followed by differentiation from mixed-norm spaces to α-Bloch spaces [J].
Li, Songxiao ;
Stevic, S. .
SBORNIK MATHEMATICS, 2008, 199 (11-12) :1847-1857
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