Weighted composition operators between Lipschitz algebras of complex-valued bounded functions

Document Type: Research articles

Authors

Department of Mathematics, Faculty of Science, Arak University

Abstract

‎In this paper‎, ‎we study weighted composition operators between Lipschitz algebras of complex-valued bounded functions on metric spaces‎, ‎not necessarily compact‎. ‎We give necessary and sufficient conditions for the injectivity and the surjectivity of these operators‎. ‎We also obtain sufficient and necessary conditions for a weighted composition operator between these spaces to be compact.

Keywords