scholarly journals BELLWETHERS OF COMPOSITION OPERATORS ACTING BETWEEN WEIGHTED BERGMAN SPACES AND WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS

2018 ◽  
Vol 54 ◽  
Keyword(s):  
Banach Spaces ◽  
Composition Operators ◽  
Bergman Spaces ◽  
Holomorphic Functions ◽  
Weighted Bergman Spaces ◽  
Spaces Of Holomorphic Functions ◽  
Weighted Banach Spaces

scholarly journals DIFFERENCES OF COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES AND WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS

2010 ◽  
Vol 52 (2) ◽  
pp. 325-332 ◽  
Author(s):  
ELKE WOLF
Keyword(s):  
Banach Spaces ◽  
Unit Disk ◽  
Composition Operators ◽  
Bergman Spaces ◽  
Holomorphic Functions ◽  
Weighted Bergman Spaces ◽  
Open Unit ◽  
Open Unit Disk ◽  
Spaces Of Holomorphic Functions ◽  
Weighted Banach Spaces

AbstractWe characterise boundedness and compactness of differences of composition operators acting between weighted Bergman spaces Av, p and weighted Banach spaces H∞w of holomorphic functions defined on the open unit disk D.

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

POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES

2019 ◽  
Vol 108 (3) ◽  
pp. 289-320 ◽  
Author(s):  
W. ARENDT ◽  
I. CHALENDAR ◽  
M. KUMAR ◽  
S. SRIVASTAVA
Keyword(s):  
Asymptotic Behaviour ◽  
Banach Spaces ◽  
Composition Operators ◽  
Bloch Space ◽  
Bergman Spaces ◽  
Dirichlet Space ◽  
Complete Characterization ◽  
Weighted Bergman Spaces ◽  
Bloch Type Space ◽  
Spaces Of Holomorphic Functions

We study the asymptotic behaviour of the powers of a composition operator on various Banach spaces of holomorphic functions on the disc, namely, standard weighted Bergman spaces (finite and infinite order), Bloch space, little Bloch space, Bloch-type space and Dirichlet space. Moreover, we give a complete characterization of those composition operators that are similar to an isometry on these various Banach spaces. We conclude by studying the asymptotic behaviour of semigroups of composition operators on these various 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.

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