Composition Operators from Zygmund Spaces to Bloch Spaces in the Unit Ball

Let H(B) denote the space of all holomorphic functions on the unit ball B⊂C^n. Let φ=(φ1,.....,φn) be a holomorphic self-map of B. The composition operator Cφ on H(B) is defined as follows (Cφf)(z)=(f∘φ)(z). In this paper we investigate the boundedness and compactness of the composition operator Cφ from Zygmund spaces to Bloch spaces in the unit ball.