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Compact Differences of Composition Operators on the Bergman Spaces Over the Ball |
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| Authors: | Boo Rim Choe Hyungwoon Koo Inyoung Park |
| Affiliation: | 1. Department of Mathematics, Korea University, Seoul, 136-701, Korea 2. BK21-Mathematical Sciences Division, Seoul National University, Seoul, 151-747, Korea |
| Abstract: | The compact differences of composition operators acting on the weighted L 2-Bergman space over the unit disk is characterized by the angular derivative cancellation property and due to Moorhouse. In this paper we extend Moorhouse’s characterization, as well as some related results, to the ball and, at the same time, to the weighted L p -Bergman space for the full range of p. |
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