Bloch型空间的一些特征

Some Characterizations of Bloch-type Spaces

该文研究单位圆和单位球上的调和Bloch型空间的一些性质.利用B^n上的伪双曲距离,得到调和Bloch型空间的一些无导数特征,从而推广Chen等在文献[1-3]有关全纯和调和映射的结果.

In this paper, we investigate some properties for Bloch-type spaces of harmonic mappings in the unit disc D and unit ball B^n of C^n. By using the pseudo-hyperbolic distance function in Bn, some derivative-free characterizations of harmonic Bloch-type spaces are obtained. This extends the corresponding known ones of holomorphic and harmonic mappings due to Chen et al. in [1-3].