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Composition operators with linear fractional symbols on vector-valued Bergman spaces |
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| Authors: | |
| Institution: | (1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan, Hubei, China;(2) Department of Mathematics, Huzhong University of Science and Technology, 430074 Wuhan, Hubei, China |
| Abstract: | Let φ and ϕ be linear fractional self-maps of the unit diskD andX a separable Hilbert space. In this paper we completely characterize the weak compactness of the product operators of a composition operationC φ with another one’s adjointC ρ* on the vector-valued Bergman spaceB 1 (X) for formsC φCφ* andC φ*Cφ. Foundation item: Supported by the National Natural Science Foundation of China (19771063) Biography: Wang Mao fa(1971-), male, Lecturer, research direetion: functional analysis. |
| Keywords: | vector\|valued Bergman space composition operator linear fractional map angular derivative weak compactness |
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