定义了外部边界球可达域,利用曲线族的模获得如下结果:设D是R~n中的有界拟凸域,f:D→B~n是K-拟共形映射,若D是外部边界球可达域,则f∈Lip_α(D),其中α=K~(1/(1-n)).

In this paper,we define"exterior boundary ball accessible domain"and make use of the modulus of curves family to obtain the following result:Let D be a bounded quasiconvex domain in Rn,f is a K-quasiconformal mapping which maps D onto B~n,if D is an exterior boundary ball accessible domain,then f∈Lip_α(D),whereα=K(1/1-n),