Extended Ces\`{a}ro Operators on $\mu$-Bloch Spaces in $C^n$

Abstract:

      Let $\mu$, $\nu\in[0,1)$ be normal functions and $g$ be holomorphic function on the unit ball. In this paper, we prove that the generalized Ces\`{a}ro operator $T_g:\beta_\mu\rightarrow\beta_\nu$ is bounded and compact.