HÖLDER CONTINUITY AND DIFFERENTIABILITY ON CONVERGING SUBSEQUENCES

doi:10.1016/S0252-9602(12)60005-8

摘要/Abstract

摘要：

It is shown that an arbitrary function from D ( Rⁿ to R^m will become C^0,α -continuous in almost every x ∈ D after restriction to a certain subset with limit point x. For n ≥ m differentiability can be obtained. Examples show the H¨older exponentn α = min{1, n/m} is optimal.

关键词: H¨older continuity, Lipschitz continuity, differentiability, restriction, weak solution

Abstract:

Key words: H¨older continuity, Lipschitz continuity, differentiability, restriction, weak solution

中图分类号:

26B05

Volker Elling. HÖLDER CONTINUITY AND DIFFERENTIABILITY ON CONVERGING SUBSEQUENCES[J]. 数学物理学报(英文版), 2012, 32(1): 75-83.

Volker Elling. HÖLDER CONTINUITY AND DIFFERENTIABILITY ON CONVERGING SUBSEQUENCES[J]. Acta mathematica scientia,Series B, 2012, 32(1): 75-83.

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