Published online by Cambridge University Press: 28 April 2022
We study the boundedness and compactness of weighted composition operators acting on weighted Bergman spaces and weighted Dirichlet spaces by using the corresponding Carleson measures. We give an estimate for the norm and the essential norm of weighted composition operators between weighted Bergman spaces as well as the composition operators between weighted Hilbert spaces.
The research of the first author is supported by a grant by the Embassy of France in Iran. The research of the second author is partially supported by the project ANR-18-CE40-0035.