A criterion of weak compactness for operators on subspaces of Orlicz spaces

Author:

Lefèvre Pascal1,Li Daniel1,Queffélec Hervé2,Rodríguez-Piazza Luis3

Affiliation:

1. Université d'Artois, Laboratoire de Mathématiques de Lens EA 2462, Fédération CNRS Nord-Pas-de-Calais FR 2956, Faculté des Sciences Jean Perrin, Rue Jean Souvraz, S.P.18, 62 307 LENS Cedex, France

2. Université des Sciences et Technologies de Lille, Laboratoire Paul Painlevé U.M.R. CNRS 8524, U.F.R. de Mathématiques, 59 655 VILLENEUVE D'ASCQ Cedex, France

3. Universidad de Sevilla, Facultad de Matemáticas, Dpto de Análisis Matemático, Apartado de Correos 1160, 41 080 SEVILLA, Spain

Abstract

We give a criterion of weak compactness for the operators on the Morse-Transue spaceMΨ, the subspace of the Orlicz spaceLΨgenerated byL.

Publisher

Hindawi Limited

Subject

Analysis

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