Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces

摘要

We consider analytic self-maps ??1,? ?2 of the open unit disk as well as analytic mapsψ 1, ψ2. These maps induce differences of weighted composition operators acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. In this article we give necessary and sufficient conditions for such a difference to be bounded resp. compact.