Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces

Abstract

‎In this paper, we provide a complete description of weighted composition operators between extended Lipschitz algebras on compact metric spaces. We give necessary and sufficient conditions for the injectivity and the sujectivity of these operators. We also obtain some sufficient conditions and some necessary conditions for a weighted composition operator between these spaces to be compact.

Keywords

• compact operator
• extended lipschitz algebra
• lipschitz mapping
• supercontactive mapping
• weighted composition operator