Weighted Composition Operators From Bloch-Type Spaces to Weighted-Type Spaces

Abstract

Let $H(B)$ denote the space of all holomorphic functions on the unit ball $B$. Let $u\in H(B)$ and $\phi$ be a holomorphic self-map of $B$. This paper characterizes the boundedness and compactness of the weighted composition operator $u{C}_{\phi }$, from Bloch-type spaces to weighted-type spaces in the unit ball.