spaces of holomorphic functions
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scholarly journals New characterizations for differences of composition operators between weighted-type spaces in the unit ball

2021 ◽  
Vol 73 (8) ◽  
pp. 1129-1139
Author(s):  
C. Chen
Keyword(s):  
Unit Ball ◽  
Necessary Conditions ◽  
Composition Operators ◽  
Holomorphic Functions ◽  
Essential Norm ◽  
Spaces Of Holomorphic Functions ◽  
Type Spaces ◽  
Sufficient And Necessary Conditions ◽  
Weighted Type ◽  
Equivalent Expressions

In this paper, we present some asymptotically equivalent expressions to the essential norm of differences of composition operators acting on weighted-type spaces of holomorphic functions in the unit ball of . Especially, the descriptions in terms of are described. From which the sufficient and necessary conditions of compactness follows immediately. Also, we characterize the boundedness of these operators.

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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