HOLDER CONTINUITY AND DIFFERENTIABILITY ON CONVERGING SUBSEQUENCES  

作　　者：Volker Elling 

机构地区：[1]Department of Mathematics,University of Michigan

出　　处：《Acta Mathematica Scientia》2012年第1期75-83,共9页数学物理学报（B辑英文版）

摘　　要：It is shown that an arbitrary function from D Rn to Rm will become C0,a-continuous in almost every x∈ D after restriction to a certain subset with limit pointx. For n 〉 m differentiability can be obtained. Examples show the Ho1der exponent a=min{1,n/m}is optimal.It is shown that an arbitrary function from D Rn to Rm will become C0,a-continuous in almost every x∈ D after restriction to a certain subset with limit pointx. For n 〉 m differentiability can be obtained. Examples show the Ho1der exponent a=min{1,n/m}is optimal.

关 键 词：Ho1der continuity Lipschitz continuity DIFFERENTIABILITY RESTRICTION weaksolution 

分 类 号：O175[理学—数学]