room: A1-33, 10:30–11:30

Mikael Lindström (Åbo Akademi)
Compactness and weak compactness of weighted composition operators on dual Banach spaces of analytic functions

Summary. In this talk I will discuss the norm and the essential norm of weighted composition operators from a large class of non-necessarily reflexive Banach spaces of analytic functions on the open unit disk into weighted type Banach spaces of analytic functions and Bloch type spaces. I also show the equivalence of compactness and weak compactness of weighted composition operators from these weighted type spaces into a class of Banach spaces of analytic functions, that includes a large family of conformally invariant spaces like BMOA.

Coffee and the at 10:00 in the room A1-33.