Weighted Composition Operators Between Weighted Bloch Type Spaces and Weighted Banach Spaces of Holomorphic Functions

2009 ◽  
Vol 30 (5-6) ◽  
pp. 646-651
Author(s):  
Elke Wolf
Keyword(s):  
Banach Spaces ◽  
Composition Operators ◽  
Holomorphic Functions ◽  
Weighted Composition Operators ◽  
Spaces Of Holomorphic Functions ◽  
Type Spaces ◽  
Weighted Composition ◽  
Weighted Banach Spaces

scholarly journals Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Cui Chen ◽  
Ren-Yu Chen ◽  
Ze-Hua Zhou
Keyword(s):  
Banach Spaces ◽  
Unit Disk ◽  
Composition Operators ◽  
Holomorphic Functions ◽  
Spaces Of Holomorphic Functions ◽  
Type Spaces ◽  
Weighted Banach Spaces

We characterize the boundedness and compactness of differences of the composition operators followed by differentiation between weighted Banach spaces of holomorphic functions in the unit disk. As their corollaries, some related results on the differences of composition operators acting from weighted Banach spaces to weighted Bloch type spaces are also obtained.

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