[1]陈行堤.调和拟共形映照双曲雅可比的偏差性质[J].华侨大学学报(自然科学版),2010,31(3):351-355.[doi:10.11830/ISSN.1000-5013.2010.03.0351]
　CHEN Xing-di.Distortion Estimations of the Hyperbolic Jacobians of Harmonic Quasiconformal Mappings[J].Journal of Huaqiao University(Natural Science),2010,31(3):351-355.[doi:10.11830/ISSN.1000-5013.2010.03.0351]
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调和拟共形映照双曲雅可比的偏差性质()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第31卷
期数:
2010年第3期
页码:
351-355
栏目:
出版日期:
2010-05-20

文章信息/Info

Title:
Distortion Estimations of the Hyperbolic Jacobians of Harmonic Quasiconformal Mappings
文章编号:
1000-5013(2010)03-0351-05
作者:
陈行堤
华侨大学数学科学学院
Author(s):
CHEN Xing-di
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
调和映照;  拟共形映照;  双曲雅可比;  双曲面积
Keywords:
harmonic mappings;  quasiconformal mappings;  hyperbolic Jacobians;  hyperbolic areas
分类号:
O174.55
DOI:
10.11830/ISSN.1000-5013.2010.03.0351
文献标志码:
A
摘要:
研究两类调和拟共形映照双曲雅可比和双曲面积的偏差性质,给出上半平面到自身上的欧氏调和拟共形映照双曲雅可比的精确界限,以及达到极值的函数.研究双曲调和拟共形映照双曲雅可比的偏差估计,并应用于两类调和拟共形映照双曲面积的偏差估计.结果表明,这两类调和拟共形照是非爆破的.
Abstract:
The distortion estimation with respect to the hyperbolic metrics of two classes of harmonic quasiconformal mappings is studied.First,the sharp upper and lower bounds of the hyperbolic Jacobians of Euclidean harmonic quasiconformal mappings from the upper half-plane onto itself and their corresponding extremal functions are given.Secondly,the distortion estimation of hyperbolic Jacobian of hyperbolic quasiconformal mappings are obtained.Finally,the distortion estimation of the above two classes of mappings is applied to study their corresponding distortion theorems about hyperbolic areas.The results show that the above two classes of harmonic quasiconformal mappings are non-explodable.

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备注/Memo

备注/Memo:
福建省自然科学基金资助项目(S0650019); 华侨大学高层次人才科研启动项目(08BS107)
更新日期/Last Update: 2014-03-23