中文摘要：

利用调和测度对渐近共形曲线进行刻画,给出了一个有界闭Jordan曲线γ为渐近共形曲线的充要条件：该曲线γ的两个连通分支D,D^＊都是调和测度渐近加倍区域.

英文摘要：

This paper investigates the asymptotically conformal curve by using narmomc measure and proves that a closed Jordan curve y is an asymptotically conformal curve with complementary domains D, D＊ if and only if both D, D＊ are harmonic measure asymptotical doubling domains.