Ahlfors-regular curves and Carleson measures

被引：0
|
作者：
Huaying Wei [1 ]
Michel Zinsmeister [2 ]
机构：
[1] Department of Mathematics and Statistics, Jiangsu Normal University
[2] IDP, Université d'Orléans
来源：
Science China(Mathematics) | 2020年 / 63卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Ahlfors-regular curve; Carleson measure; push-forward operator; chord-arc curve; asymptotically smooth curve;
D O I：
暂无
中图分类号：
O174.12 [测度论];
学科分类号：
070104 ;
摘要：
We study the relation between the boundary of a simply connected domain ? being Ahlfors-regular and the invariance of Carleson measures under the push-forward operator induced by a conformal mapping from the unit disk ? onto the domain ?. As an application, we characterize the chord-arc curves with small norms and the asymptotically smooth curves in terms of the complex dilatation of some quasiconformal reflection with respect to the curve.
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收藏
页码：1057 / 1064
页数：8
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