Weighted iterated radial composition operators from weighted Bergman–Orlicz spaces to weighted‐type spaces on the unit ball

2021 ◽  
Author(s):  
Stevo Stević ◽  
Zhi‐jie Jiang
Keyword(s):  
Unit Ball ◽  
Composition Operators ◽  
Orlicz Spaces ◽  
Type Spaces ◽  
Weighted Type

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.

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