Uniformly locally univalent functions and Hardy spaces

Uniformly locally univalent functions and Hardy spaces
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DOI:
10.1016/j.jmaa.2008.11.036
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发表时间:
2009-05
影响因子:
1.3
通讯作者:
Yong Chan Kim;T. Sugawa
Yong Chan Kim;T. Sugawa
中科院分区:
数学3区
文献类型:
--
作者:
Yong Chan Kim;T. Sugawa

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我们考虑了单位圆盘上的一致局部单叶函数类,它具有规定的预Schwarz范数。在这篇文章中,我们证明了这类包含在依赖于范数的特定指数的Hardy空间中。
We consider the class of uniformly locally univalent functions on the unit disk with prescribed pre-Schwarzian norm. In the present paper, we show that the class is contained in the Hardy space of a specific exponent depending on the norm.