Volume 35 • Number 4 • 2012   • Composition Operators from Zygmund Spaces to Bloch Spaces in the Unit Ball Xiangling Zhu Abstract. Let $H(B)$ denote the space of all holomorphic functions on the unit ball $B\subset \mathbb C^n$. Let $\varphi=(\varphi_1,\ldots,\varphi_n)$ be a holomorphic self-map of $B$. The composition operator $C_\varphi$ on $H(B)$ is defined as follows $( C_\varphi f)(z) =(f\circ \varphi)(z).$ In this paper we investigate the boundedness and compactness of the composition operator $C_\varphi$ from Zygmund spaces to Bloch spaces in the unit ball. 2010 Mathematics Subject Classification: Primary: 47B33; Secondary: 32A18. Full text: PDF