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| 摘要: |
| 本文研究了Bloch型空间中函数性质问题.利用拟双曲度量及一些不等式得到了Bloch型空间Bα(Bn) (0< α ≤ 1)的一个新的刻画,该刻画将Bloch型空间Bα(Bn)的Holland-Walsh刻画推广到一个高阶形式. |
| 关键词: Bloch型空间 Holland-Walsh刻画 拟双曲度量 |
| DOI： |
| 分类号:O174.56 |
| 基金项目:Supported by National Natural Science Foundation of China (11261022); the Natural Science Foundation of Anhui Education Committee (KJ2012Z296); Chuzhou University Fund for Applied Mathematics (CXTD201102). |
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| A CHARACTERIZATION OF BLOCH-TYPE SPACES |
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WANG Xiong-liang
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| Abstract: |
| In this paper, we investigate the properties of functions in the Bloch-type spaces. By using the pseudo-hyperbolic metric and some inequalities, we obtain a new characterization of Bloch-type spaces Bα(Bn) with 0 < α ≤ 1, which generalizes the Holland-Walsh characterization in a higher order version for Bloch-type spaces Bα(Bn). |
| Key words: Bloch-type spaces Holland-Walsh characterization the pseudo-hyperbolic metric |
