Isolation and Component Structure in Spaces of Composition Operators |
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| Authors: | Christopher Hammond Barbara D. MacCluer |
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| Affiliation: | (1) Department of Mathematics, University of Virginia, P.O. Box 400137, Charlottesville, VA 22904-4137, USA;(2) Present address: Department of Mathematics and Computer Science, Connecticut College, Box 5384, 270 Mohegan Avenue, New London, CT 06320-4196, USA |
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| Abstract: | We establish a condition that guarantees isolation in the space of composition operators acting between Hp(BN) and Hq(BN), for 0 < p ≤ ∞, 0 < q < ∞, and N ≥ 1. This result will allow us, in certain cases where 0 < q < p ≤ ∞, completely to characterize the component structure of this space of operators. |
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| Keywords: | 47B33 |
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