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arXiv · 1008.1675

Compact Differences of Composition Operators on Holomorphic Function Spaces in the Unit Ball

Liangying Jiang·Caiheng Ouyang
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Abstract

We find a lower bound for the essential norm of the difference of two composition operators acting on $H^2(B_N)$ or $A^2_s(B_N)$ ($s>-1$). This result plays an important role in proving a necessary and sufficient condition for the difference of linear fractional composition operators to be compact, which answers a question posed by MacCluer and Weir in 2005.

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Liangying Jiang, Caiheng Ouyang. 2010-08-10. Compact Differences of Composition Operators on Holomorphic Function Spaces in the Unit Ball. https://arxiv.org/abs/1008.1675

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