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

‎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.

کلیدواژه ها:

Compact linear operator‎ ، ‎Lipschitz algebra‎ ، ‎Pointed metric space‎ ، ‎Weighted composition operator