Zygmund微分映射的正则点

On the Regular Points of Zygmund Differentiable Maps

该文的主要结果是:对任意Zygmund类C^(p,Z)映射f:R^n→R^m,若(n-m)/2≤p≤n-m-1,则有mesK_f>0或者mesC_f>0.这个结果给出了Hirsch问题的部分回答.

The main result of this article is： For any Zygmund class C^p,Z map f ： R^n → R^m if n-m/2≤ p ≤ n - m - 1, then either mesKf 〉 0 or mesCf 〉 0. It provides a partial answer of the Hirsch Problem.