Ahlfors-regular curves and Carleson measures  

作　　者：Huaying Wei Michel Zinsmeister 

机构地区：[1] Department of Mathematics and Statistics,Jiangsu Normal University,Xuzhou 21116,China [2] IDP,Universite d'Orleans,Orleans 45067,France

出　　处：《Science China Mathematics》2020年第6期1057-1064,共8页中国科学：数学（英文版）

基　　金：National Natural Science Foundation of China (Grant No. 11501259)。

摘　　要：We study the relation between the boundary of a simply connected domainΩbeing Ahlfors-regular and the invariance of Carleson measures under the push-forward operator induced by a conformal mapping from the unit disk△onto the domainΩ.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.

关 键 词：Ahlfors-regular curve Carleson measure push-forward operator chord-arc curve asymptotically smooth curve 

分 类 号：O174.12[理学—数学]