發(fā)布時(shí)間：2019-07-24 19:32

【摘要】：This paper is devoted to the study of some fundamental properties of the sewing homeomorphism induced by a Jordan domain. In particular, using conformal invariants such as harmonic measure, extremal distance, and reduced extremal distance, we give several necessary and sufficient conditions for the sewing homeomorphism to be bi-Lipschitz or bi-H銉lder. Furthermore, equivalent conditions for a Jordan curve to be a quasicircle are also obtained.
[Abstract]:This paper is devoted to the study of some fundamental properties of the sewing homeomorphism induced by a Jordan domain. In particular, using conformal invariants such as harmonic measure, extremal distance, and reduced extremal distance, we give several necessary and sufficient conditions for the sewing homeomorphism to be bi-Lipschitz or bi-H / lder. Furthermore, equivalent conditions for a Jordan curve to be a quasicircle are also obtained.
【作者單位】： Department
【基金】：The first author is partially supported by National Natural Science Foundation of China(Grant Nos.11371268and 11471117) Science and Technology Commission of Shanghai Municipality(Grant No.13dz2260400) the third author is partially supported by National Natural Science Foundation of China(Grant No.11471117) by PERS of Emory
【分類號(hào)】：O174.5

【相似文獻(xiàn)】

相關(guān)期刊論文 前10條

1 ;Analysis of moment invariants under general linear transformation[J];Science China(Information Sciences);2010年07期

2 施容華;THE AVERAGE DISTANCE OF A CONNECTED GRAPH[J];Chinese Science Bulletin;1991年04期

3 紀(jì)友清,李覺先,孫善利;The Quasiapproximate (鉍+，

本文編號(hào)：2518823