Convex hull theorem for multiply connected domains in the plane with an estimate of the quasiconform

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：liongliong418

【摘要】

：

For any multiply connected domain Ω in R2, let S be the boundary of the convex hull in H3 of R2\Ω which faces Ω. Suppose in addition that there exists a low

【作者】

：

Gang Liu (1) ShengJian Wu (

【机构】

：

1.LMAM

【出处】

：

中国科学：数学英文版

【发表日期】

：

2009年5期

【关键词】

：

CONVEX HULL quasiconformal mapping multiply CONNECTED domain convex hull quasico

【基金项目】

：

supported by National Natural Science Foundation of China (Grant Nos. 10671004, 10831004),the Doctoral Education Program Foundation of China (Grant No. 20060001003)

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For any multiply connected domain Ω in R2, let S be the boundary of the convex hull in H3 of R2\\Ω which faces Ω. Suppose in addition that there exists a lower bound l 】 0 of the hyperbolic lengths of closed geodesics in Ω. Then there is always a K-quasic

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Convex hull theorem for multiply connected domains in the plane with an estimate of the quasiconform

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