[1]韩雪,黄心中.拟共形映照的双曲面积偏差[J].华侨大学学报(自然科学版),2007,28(4):433-436.[doi:10.3969/j.issn.1000-5013.2007.04.026]
　HAN Xue,HUANG Xin-zhong.Hyperbolic Area Distortion under Quasiconformal Mappings[J].Journal of Huaqiao University(Natural Science),2007,28(4):433-436.[doi:10.3969/j.issn.1000-5013.2007.04.026]
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拟共形映照的双曲面积偏差()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第28卷
期数:
2007年第4期
页码:
433-436
栏目:
出版日期:
2007-10-20

文章信息/Info

Title:
Hyperbolic Area Distortion under Quasiconformal Mappings
文章编号:
1000-5013(2007)04-0433-04
作者:
韩雪; 黄心中
华侨大学数学科学学院; 华侨大学数学科学学院 福建泉州362021; 福建泉州362021
Author(s):
HAN Xue;  HUANG Xin-zhong
School of Mathematics Science, Huaqiao University, Quanzhou 362021, China
关键词:
拟共形映照;  调和拟共形映照;  双曲面积;  爆破集
Keywords:
quasiconformal mapping;  harmonic quasiconformal mapping;  hyperbolic area;  explodable set
分类号:
O174.55
DOI:
10.3969/j.issn.1000-5013.2007.04.026
文献标志码:
A
摘要:
进一步研究拟共形映照f(z)=ρ(r,θ)eiφ(θ),z=reiθ,0
Abstract:
Two-dimensional hyperbolic area distortion under a class of quasiconformal mappings in the unit disk is estimated.As application,the fact that any bounded hyperbolic area set under these mappings can′t be exploded has been proved.Our results extend some previous results of CHEN Xing-di.At last a sort of non-explodable harmonic quasiconformal mappings is obtained.

参考文献/References:

[1] ASTALA K. Area distortion of qusaiconformal mappings [J]. Acta Mathematica, 1994.37-60.
[2] EREMENKO A, HAMILTON D H. On the area distortion by quasiconformalmappings [J]. Proceedings of the American Mathematical Society, 1995.2793-2797.
[3] PORTER R M, RéSNDIS L F. Quasiconformally explodable sets [J]. Complex Variables, 1998.379-392.
[4] 陈行堤. 拟共形映照的爆破集问题 [J]. 华侨大学学报(自然科学版), 2001(2):111-116.doi:10.3969/j.issn.1000-5013.2001.02.001.
[5] PAVLOVIC M. Boundary correspondence under harmonic quasiconformal homeomorphisms of the unit disk [J]. Ann Acad Sci Math, 2002.365-372.

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备注/Memo

备注/Memo:
福建省自然科学基金资助项目(Z0511025)
更新日期/Last Update: 2014-03-23