Weighted composition operators on spaces generated by fractional Cauchy kernels of the unit ball
摘要
In this paper, we characterize bounded and compact weighted composition operators acting from spaces generated by fractional Cauchy kernels of the unit ball to Hardy spaces of the unit ball. We explicitly obtain the norm of such operators acting between these spaces and characterize the equicontinuity of a family of weighted composition operators acting between these spaces. Equivalent conditions characterizing compact weighted composition operators in terms of continuity of some integral transforms and equi-absolute continuity of special type of measures are also given.