|本期目录/Table of Contents|

[1]许小雪,王根娣.伸缩不变Cassini度量的精确不等式[J].浙江理工大学学报,2019,41-42(自科六):829-834.
　XU Xiaoxue,WANG Gendi.Sharp inequalities for the scale invariant Cassinian metric[J].Journal of Zhejiang Sci-Tech University,2019,41-42(自科六):829-834.
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伸缩不变Cassini度量的精确不等式()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第41-42卷
期数:
2019年自科六期
页码:
829-834
栏目:
出版日期:
2019-10-31

文章信息/Info

Title:
Sharp inequalities for the scale invariant Cassinian metric
文章编号:
1673-3851 (2019) 11-0829-06
作者:
许小雪; 王根娣
浙江理工大学理学院，杭州 310018
Author(s):
XU Xiaoxue;  WANG Gendi
School of Sciences, Zhejiang SciTech University, Hangzhou 310018, China
关键词:
伸缩不变Cassini度量; 双曲型度量; M-bius变换
分类号:
O174-5
文献标志码:
A
摘要:
研究了伸缩不变Cassini度量与一些双曲型度量的精确比较关系，还证明了伸缩不变Cassini度量在单位球映到自身或半空间映到自身的Mbius变换下的精确偏差不等式。

参考文献/References:

［1］Ibragimov Z. A scaleinvariant Cassinian metric［J］. The Journal of Analysis, 2016, 24(1): 111-129.
［2］ Mohapatra M R, Sahoo S K. Mapping properties of a scale invariant Cassinian metric and a Gromov hyperbolic metric［J］. Bulletin of the Australian Mathematical Society, 2018, 97(1): 141-152.
［3］ Wang G D, Xu X X, Vuorinen M. Remarks on the scale invariant Cassinian metric. (2019-03-21)［2019-06-26］. https://arxiv.org/abs/1903-09099.
［4］ Mohapatra M R, Sahoo S K. A Gromov hyperbolic metric vs the hyperbolic and other related metrics［J］. Computational Methods and Function Theory, 2018, 18(3): 473-493.
［5］ Beardon A F. The geometry of discrete groups［M］. New York: SpringerVerlag, 1983.
［6］ Seittenranta P. Mbiusinvariant metrics［J］. Mathematical Proceedings of the Cambridge Philosophical Society, 1999, 125(3): 511-533.
［7］ Beardon A F. The Apollonian metric of a domain in Rn［M］//Quasiconformal Mappings and Analysis. New York, NY: Springer New York, 1998: 91-108.
［8］ Vuorinen M. Conformal Geometry and Quasiregular Mappings［M］. Berlin: Springer, 1988.
［9］ Hst P, Lindén H. Isometries of the halfApollonian metric［J］. Complex Variables, Theory and Application: an International Journal, 2004, 49(6): 405-415.
［10］ Ibragimov Z. The Cassinian metric of a domain in Rn［J］. Uzbekskiǐ Matematicheskiǐ Zhurnal, 2009(1): 53-67.

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备注/Memo

备注/Memo:
?Received date：收稿日期2019-06-26
Published Online：2019-09-02
Fund item：基金项目This research is supported by National Nature Science Foundation of China (NNSFC) (Grant No.11601485) and Science Foundation of Zhejiang SciTech University (ZSTU) (Grant No.16062023Y).
Introduction of the first author：XU Xiaoxue(1994-)，female，Anyang，Henan，postgraduate，research interests：complex analysis.
Corresponding author：作者简介WANG Gendi，E-mail：gendi.wang@zstu.edu.cn
更新日期/Last Update: 2019-11-25