参考文献/References:
[1] 夏道行.拟共形映照的参数表示[J].科学记录,1959(9):323-329.
[2] AHLFORS L.Lectures on quasiconformal mappings[M].New York:Van Nostrand,1966.
[3] GEHING F,REICH E.Area distortion of under quasiconformal mappings[J].Ann Acad Sci Fenn Ser AI Math,1996(388):1-14.DOI:10.5186/aasfm.1966.388.
[4] HE Chengqi.A parametric representation of quasiconformal extensions[J].Chinese Science Bulletin,1980,25(9):721-724.
[5] ASTALA K,IWANIEC T,MARTIN T.Elliptic partial differential equations and quasiconformal mappings in the plane[M].Princeton:Princeton University Press,2009.
[6] ASTALA K,NESI V.Composites and quasiconformal mappings: New optimal bounds in two dimensions[J].Calc Var Partial Differential Equations,2003,144(6):2593-2601.DOI:10.1007/s00526-003-0145-9.
[7] ASTALA K.Area distortion of quasiconformal mappings[J].Acta Math,1994,173(1):37-60.DOI:10.1007/BF023 92568.
[8] EREMENKO A,HAMILTON D H.On the area distortion by quasiconformal mapping[J].Proc Amer Math Soc,1995,123(9):2793-2797.DOI:10.1090/s0002-9939-1995-1283548-8.
[9] 林珍连.上半平面某类调和拟共形映照的特征估计[J].华侨大学学报(自然科学版),2016,37(1):125-128.DOI:10.11830/ISSN.1000-5013.2016.01.0125.
[10] 林珍连.某些调和单叶函数的稳定性及系数估计[J].华侨大学学报(自然科学版),2009,30(6):718-719.DOI:10.11830/issn.1000-5013.2009.06.0718.
相似文献/References:
[1]赖万才.拟共形映照的模数偏差[J].华侨大学学报(自然科学版),1985,6(2):141.[doi:10.11830/ISSN.1000-5013.1985.02.0141]
Lai Wancai.On the Distortion of Modulus of Quasiconformal Mappings[J].Journal of Huaqiao University(Natural Science),1985,6(5):141.[doi:10.11830/ISSN.1000-5013.1985.02.0141]
[2]赖万才.拟共形映照的一个极值问题[J].华侨大学学报(自然科学版),1989,10(4):359.[doi:10.11830/ISSN.1000-5013.1989.04.0359]
Lai Wancai.An Extremal Problem for Quasiconformal Mappings[J].Journal of Huaqiao University(Natural Science),1989,10(5):359.[doi:10.11830/ISSN.1000-5013.1989.04.0359]
[3]黄心中.分段与整体拟对称函数之间的关系[J].华侨大学学报(自然科学版),1999,20(1):1.[doi:10.11830/ISSN.1000-5013.1999.01.0001]
Huang Xinzhong.Relation between Piecewise and Global Quasi Symmetric Functions[J].Journal of Huaqiao University(Natural Science),1999,20(5):1.[doi:10.11830/ISSN.1000-5013.1999.01.0001]
[4]刘金雄.Reich的一个定理改进及其相关问题[J].华侨大学学报(自然科学版),2000,21(1):8.[doi:10.3969/j.issn.1000-5013.2000.01.002]
Liu Jinxiong.Improving One of Reich’s Theorems and Problem Correlated with It[J].Journal of Huaqiao University(Natural Science),2000,21(5):8.[doi:10.3969/j.issn.1000-5013.2000.01.002]
[5]刘金雄.一类唯一极值Teichmǖller映照的判别法[J].华侨大学学报(自然科学版),2000,21(4):331.[doi:10.3969/j.issn.1000-5013.2000.04.001]
Liu Jinxiong.Criterion for a Class of Uniquely Extremal Teichmüller Mappings[J].Journal of Huaqiao University(Natural Science),2000,21(5):331.[doi:10.3969/j.issn.1000-5013.2000.04.001]
[6]刘金雄.一类唯一极值Teichmller映照的存在性[J].华侨大学学报(自然科学版),2001,22(1):6.[doi:10.3969/j.issn.1000-5013.2001.01.002]
Liu Jinxiong.Existence of a Class of Uniquely Extremal Teichmller Mappings[J].Journal of Huaqiao University(Natural Science),2001,22(5):6.[doi:10.3969/j.issn.1000-5013.2001.01.002]
[7]陈行堤,黄心中.拟共形映照的爆破集问题[J].华侨大学学报(自然科学版),2001,22(2):111.[doi:10.3969/j.issn.1000-5013.2001.02.001]
Chen Xingdi,Huang Xinzhong.Explodable Set of Quasiconformal Mapping[J].Journal of Huaqiao University(Natural Science),2001,22(5):111.[doi:10.3969/j.issn.1000-5013.2001.02.001]
[8]林峰.Beurling-Ahlfors扩张的伸张函数的边界极限[J].华侨大学学报(自然科学版),2004,25(4):352.[doi:10.3969/j.issn.1000-5013.2004.04.004]
Lin Feng.Boundary Limit of Dilatation Function of Beurling-Ahlfors Extension[J].Journal of Huaqiao University(Natural Science),2004,25(5):352.[doi:10.3969/j.issn.1000-5013.2004.04.004]
[9]朱剑锋,黄心中.区间上拟对称函数的延拓定理[J].华侨大学学报(自然科学版),2007,28(1):83.[doi:10.3969/j.issn.1000-5013.2007.01.022]
ZHU Jian-feng,HUANG Xin-zhong.The Extension Theorem of Quasisymmetric Function on the Interval[J].Journal of Huaqiao University(Natural Science),2007,28(5):83.[doi:10.3969/j.issn.1000-5013.2007.01.022]
[10]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.[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(5):433.[doi:10.3969/j.issn.1000-5013.2007.04.026]
[11]黄心中.参数表示下的拟共形映照[J].华侨大学学报(自然科学版),1997,18(2):111.[doi:10.11830/ISSN.1000-5013.1997.02.0111]
Huang Xinzhong.Quasiconformal Mappings with Parametric Representation[J].Journal of Huaqiao University(Natural Science),1997,18(5):111.[doi:10.11830/ISSN.1000-5013.1997.02.0111]