多圆柱上Lipschitz空间上复合算子的紧性

The Compactness of Composition Operator about the Lipschitz Space on the Multi-circular Cylinder

设Un是n维复空间Cn中的单位多圆柱,φ=(φ1,…,φn)是Un到自身的一个全纯映射,讨论了复合算子Cφ在Lipschitz空间Lipα(Un)上的紧性,完善了文[1]的结果.

Let Un be unit multi-circular cylinder of n-dimensionality complex space Cn and φ = (φ1, , φn) be a holomorphic map from Un to Un. We will discuss the compactness of composition operator on the lipschitz space Lipa (Un). We improve the result of Zhu.