Classical Operators in Weighted Banach Spaces of Holomorphic Functions

2019 ◽  
Vol 241 (6) ◽  
pp. 647-657
Author(s):  
A. V. Abanin ◽  
Pham Trong Tien
Keyword(s):  
Banach Spaces ◽  
Holomorphic Functions ◽  
Spaces Of Holomorphic Functions ◽  
Weighted Banach Spaces

Disjointness of composition operators on Hv0 spaces

2020 ◽  
Vol 70 (6) ◽  
pp. 1357-1366
Author(s):  
Yu-Xia Liang ◽  
Ze-Hua Zhou
Keyword(s):  
Banach Spaces ◽  
Unit Disk ◽  
Composition Operators ◽  
Holomorphic Functions ◽  
Spaces Of Holomorphic Functions ◽  
Weighted Banach Spaces

AbstractThe disjoint properties of finitely many composition operators acting on the weighted Banach spaces of holomorphic functions in the unit disk were investigated in this paper.

scholarly journals Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions

2014 ◽  
Vol 6 (1) ◽  
pp. 107-116
Author(s):  
Elke Wolf
Keyword(s):  
Banach Spaces ◽  
Composition Operator ◽  
Bergman Spaces ◽  
Holomorphic Functions ◽  
Differentiation Operator ◽  
Weighted Bergman Spaces ◽  
Open Unit ◽  
Open Unit Disk ◽  
Spaces Of Holomorphic Functions ◽  
Weighted Banach Spaces

AbstractLet Φ be an analytic self-map of the open unit disk D in the complex plane. Such a map induces through composition a linear composition operator CΦ: f ↦ f◦Φ.We are interested in the combination of CΦwith the differentiation operator D, that is in the operator DCΦ: f ↦ Φ` · (f ◦ Φ) acting between weighted Bergman spaces and weighted Banach spaces of holomorphic functions

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