| Estimation for the Dilatation of the Generalized Beurling-Ahlfors' Extension |
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| 作者姓名： | 姜天权 郑学良 |
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| 作者单位： | Jiang Tianquan ;Zheng Xueliang(Jining Teacher's College，272125) (Taizhou Teacher's College，317000) |
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| 摘 要： | 51.IntroductionLethbeahomeomorphismontherealaxisR,andsatisfyh(lco)=loo.Wecallaquasisymmetricfunction.lfthereexistsa'constantMsuchthatM-1Sp(x,t)SM,x,teR,(l.2)then(1.2)iscalledtheM-condition-Byvirtueoftheclassicresultofpaperlj,ifp(x,t)sat-isfiestheM-condition,thenthereexistsaK(M')-quasiconformaIextensiononthel1alfplaneH,whichisthewell-knownBeurling-Ahlfors'extension:ytz)=u(x,y) iv(x,y),whereAfterpaperlj,manyworkshavebeendoneforestimatingK-Particularly,itshouldbere-markedheretl1atM.Leht…
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Estimation for the Dilatation of the Generalized Beurling-Ahlfors' Extension |
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| Jiang Tianquan ,Zheng Xueliang.Estimation for the Dilatation of the Generalized Beurling-Ahlfors' Extension[J].Chinese Quarterly Journal of Mathematics,1997(2). |
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| Authors: | Jiang Tianquan Zheng Xueliang |
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| Abstract: | The Beurling-Ahlfors' extension is studied under relatively general conditions and its dilatation fonction is estimated. Particularly, the classic Deurling -Ahlfors' theorem can be obtained under the M-condition. |
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| Keywords: | quasiconformal mapping quasiconformal homeomorphism Beurling-Ahlfors' extension dilatation function quasisymmetric function |
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