摘要
本文研究了单位球上μ-Bloch空间.利用径向导数和梯度的基本性质,我们获得了μ-Bloch空间的Holland-Walsh型刻画,推广了单位圆盘和单位球上的已有的一些结论.同时,得到了小μ-Bloch空间的相应特征.
In this article,theμ-Bloch spaces on the unit ball are studied.Using the basic quality of radial derivative and gradient,the authors obtain Holland-Walsh's characterization of theμ-Bloch spaces and generalize some known results on the unit disk and on the unit ball,respectively. At the same time,an analogous result of the littleμ-Bloch spaces is given.
出处
《数学杂志》
CSCD
北大核心
2010年第3期467-472,共6页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(10771064)