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Mobius变换下的精确偏差不等式。
In this paper,the authors study sharp inequalities between the scale invariant Cassinian metric and some hyperbolic type metrics.They also prove sharp distortion inequalities of the scale invariant Cassinian metric under Mobius transformations from the unit ball onto itself or from the upper half space onto itself.
作者
许小雪
王根娣
XU Xiaoxue;WANG Gendi(School of Sciences,Zhejiang Sci-Tech University,Hangzhou 310018,China)
出处
《浙江理工大学学报(自然科学版)》
2019年第6期829-834,共6页
Journal of Zhejiang Sci-Tech University(Natural Sciences)
基金
supported by National Nature Science Foundation of China(NNSFC)(Grant No.11601485)
Science Foundation of Zhejiang Sci-Tech University(ZSTU)(Grant No.16062023-Y)