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 \(\varphi\) be a holomorphic self-map of \(B\). This paper characterizes the boundedness and compactness of the weighted composition operator \(uC_{\varphi}\), from Bloch-type spaces to weighted-type spaces in the unit ball.