scholarly journals Compactness of composition operators on the Bloch space in classical bounded symmetric domains

2002 ◽  
Vol 50 (2) ◽  
pp. 381-405 ◽  
Author(s):  
Zehua Zhou ◽  
Jihuai Shi
Keyword(s):  
Composition Operators ◽  
Bloch Space ◽  
Bounded Symmetric Domains

COMPOSITION OPERATORS ON THE LITTLE BLOCH SPACE IN POLYDISCS

2005 ◽  
Vol 25 (4) ◽  
pp. 629-638
Author(s):  
Zehua Zhou ◽  
Min Zhu ◽  
Jihuai Shi
Keyword(s):  
Composition Operators ◽  
Bloch Space ◽  
Little Bloch Space

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.

Closed-Range Composition Operators on $${\mathbb{A}^2}$$ and the Bloch Space

2010 ◽  
Vol 68 (4) ◽  
pp. 503-517 ◽  
Author(s):  
John R. Akeroyd ◽  
Pratibha G. Ghatage ◽  
Maria Tjani
Keyword(s):  
Composition Operators ◽  
Bloch Space ◽  
Closed Range
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