BMO范数和拟共形映照的 Hlder 连续性

BMO NORM AND THE HOLDER CONTINUITY OF QUASICONFORMAL MAPPINGS

本文研究了空间单位球 B^n上的拟共形映照 f 的 Hlder 连续性,当 logJ_f 的 BMO 范数足够小时证明了 f 在 B^n上具有Hlder 连续性,该结果是 K.Astala 和 F.W.Gehring 在文定理5.7的平面结果的空间推广。

In this paper,We have Studied the Hlder Continuity of quasiconformal mapping of on Unit bal B^n,Proved that f have Hlder Continuity on B^n when ‖logJ_f‖ is Sufficience Small,this result is a generatization of the plane result of K.Astala and F.W.Gehring in the paper [1,Theorem 5.7]。