Communications of the
Korean Mathematical Society CKMS

In this paper, we characterize the boundedness and compactness of weighted composition operators $\psi C_{\varphi}f = \psi ( f \circ \varphi)$ acting between Bergman and Bloch spaces of holomorphic functions on the open unit disk $\mathbb D.$

Keywords: Bergman spaces, Bloch spaces, little Bloch spaces, weighted composition operator

MSC numbers: Primary 47B33, 31C05, 46E10; Secondary 30D55