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Generalized Essential Norm of Weighted Composition Operators on some Uniform Algebras of Analytic Functions |
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| Authors: | Pascal Lefèvre |
| Affiliation: | (1) Laboratoire de Mathématiques de Lens, Faculté Jean Perrin, Université d’Artois, rue Jean Souvraz S.P. 18, 62307 Lens cedex, France |
| Abstract: | We compute the essential norm of a composition operator relatively to the class of Dunford-Pettis operators or weakly compact operators, on some uniform algebras of analytic functions. Even in the context of H∞ (resp. the disk algebra), this is new, as well for the polydisk algebras and the polyball algebras. This is a consequence of a general study of weighted composition operators. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). Primary 47B33 Secondary 46E15, 47B10 |
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