Weighted Composition Operators between Different Hardy Spaces |
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| Authors: | Manuel D. Contreras Alfredo G. Hernández-Díaz |
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| Affiliation: | (1) Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos, s/n, 41092 Sevilla, Spain. E-mail: contreras@esi.us.es, ES;(2) E-mail: alfredo@ma2.us.es, ES |
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| Abstract: | Let and be two analytic functions defined on such that. The operator given by is called a weighted composition operator. In this paper we deal with the boundedness, compactness, weak compactness, and complete continuity of weighted composition operators from a Hardy space H p into another Hardy space H q . We apply these results to study composition operators on Hardy spaces of a half-plane. Submitted: November 20, 2001. |
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| Keywords: | Mathematics Subject Classification (2000). Primary 47B38, 46E15 ?. Weighted composition operators, Hardy spaces, compact operators, weakly compact operators, and completely continuous operators. |
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