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一类拟圆盘的一些几何特征

DOI: 10.3969/j.issn.1000-5013.2003.04.004

Keywords: 拟圆盘, Poincaré尺度, Schwarz导数

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Abstract:

研究一类拟圆盘的几何特征 .相应于 Chuaqui和 Osgood的结果,文中对一类拟圆盘Poincaré尺度的对数梯度进行上、下界估计,进一步完善其结果

References

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[2]  Chuaqui M, Osgood B G. Sharp distortion theorems associated with the Schwarzian derivative [J]. Journal of Mathematical Sociology, 1993(2):289-298.doi:10.1112/jlms/s2-48.2.289.
[3]  Osgood B G. Some properties of f″/f′ and the Poincaré metric [J]. Indiana University Mathematics Journal, 1982.449-461.doi:10.1512/iumj.1982.31.31037.
[4]  Chuaqui M, Osgood B G. Ahlfors-Weill extension of conformal mappings and critical points of the Poincaré metric [J]. Commentarii Mathematici Helvetici, 1994.659-668.doi:10.1007/BF02564508.

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