Compact Differences of Composition Operators on Holomorphic Function Spaces in the Unit Ball - Mathematics > Complex VariablesReport as inadecuate




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Abstract: We find a lower bound for the essential norm of the difference of twocomposition operators acting on $H^2B N$ or $A^2 sB N$ $s>-1$. Thisresult plays an important role in proving a necessary and sufficient conditionfor the difference of linear fractional composition operators to be compact,which answers a question posed by MacCluer and Weir in 2005.



Author: Liangying Jiang, Caiheng Ouyang

Source: https://arxiv.org/







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