BMO-Teichmüller spaces revisited
BMO-Teichmüller spaces revisited
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DOI：
10.1016/j.jmaa.2018.06.041
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发表时间：
2017-10
影响因子：
1.3
通讯作者：
Huaying Wei;M. Zinsmeister
中科院分区：
文献类型：
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作者：
Huaying Wei;M. Zinsmeister
在[6]中，利用Douady-Earle扩张算子证明了与Fuchsian群相关的BMO-Teichmüller空间的三种定义之间的等价性。在本文中，我们证明了这些等价实际上是双全纯。文[6]进一步证明了Douady-Earle扩张算子在原点连续。我们通过在这一点上证明Gâteaux可微性来改进这个结果。
In [6] the equivalence among three definitions of BMO-Teichmüller spaces associated with a Fuchsian group was proven using the Douady–Earle extension operator. In this paper, we show that these equivalences are actually biholomorphisms. In [6] it was further shown that the Douady–Earle extension operator is continuous at the origin. We improve this result by showing Gâteaux-differentiability at this point.