摘要
Holland和Walsh首先给出了复单位圆盘上Bloch空间的一个不依赖于导函数的刻画.后来Nowark把该结果推广到n维复单位球上的全纯函数的Besov空间.最近任广斌把该结果做到了n维实单位球上的双曲调和函数Besov空间.我们正是基于这些基础,得到n维复单位球上的全纯函数的Besov空间的一个不依赖于导函数的刻画.
Holland and Walsh first gave the derivative-free characterization of Bloch Spaces on the unit disc in C. Later, Nowark got a similar result for the holomorphic Besov Spaces on the unit Ball in C^n. Recently Ren Guangbin extended the result to hyperbolic harmonic Besov spaces on the unit ball in R^n. Based on these results, We obtains the derivative-free characterization of holomorphic Besov spaces on the unit ball in C^n.
基金
Supported by the National Natural Science Foundation of China(10471134).
