Compact Differences of Composition Operators on Holomorphic Function Spaces in the Unit Ball
Abstract
We find a lower bound for the essential norm of the difference of two composition operators acting on H2(BN) or A2s(BN) (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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