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Compact differences of composition operators on Holomorphic Function Spaces in the unit ball |
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| Authors: | Jiang Liangying Ouyang Caiheng |
| Institution: | aDepartment of Mathematics, Tongji University, Shanghai 200092, China;bDepartment of Applied Mathematics, Shanghai Finance University, Shanghai 201209, China;cWuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China |
| 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. |
| Keywords: | composition operators Hardy space Bergman spaces compact differences |
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