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.
Alimohammadi, D., & Daneshmand, S. (2020). Weighted composition operators between Lipschitz algebras of complex-valued bounded functions. Caspian Journal of Mathematical Sciences, 9(1), 100-123. doi: 10.22080/cjms.2019.16978.1409
MLA
Davood Alimohammadi; Safoura Daneshmand. "Weighted composition operators between Lipschitz algebras of complex-valued bounded functions", Caspian Journal of Mathematical Sciences, 9, 1, 2020, 100-123. doi: 10.22080/cjms.2019.16978.1409
HARVARD
Alimohammadi, D., Daneshmand, S. (2020). 'Weighted composition operators between Lipschitz algebras of complex-valued bounded functions', Caspian Journal of Mathematical Sciences, 9(1), pp. 100-123. doi: 10.22080/cjms.2019.16978.1409
VANCOUVER
Alimohammadi, D., Daneshmand, S. Weighted composition operators between Lipschitz algebras of complex-valued bounded functions. Caspian Journal of Mathematical Sciences, 2020; 9(1): 100-123. doi: 10.22080/cjms.2019.16978.1409