Approximate Differentiability Almost Everywhere

被引：0

作者：

D'Aniello, Emma ^{[1
]}

de Lucia, Paolo ^{[2
]}

机构：

[1] Univ Naples 2, Dipartimento Matemat, I-81100 Caserta, Italy

[2] Univ Naples Federico 2, Dipartimento Matemat, I-80126 Naples, Italy

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2010年 / 29卷 / 01期

关键词：

Parameter of regularity; asymptotically differentiable function; D-differentiable function; approximately differentiable function;

D O I：

10.4171/ZAA/1400

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a bounded measurable subset of R(k). We provide a characterization of the functions f : X -> R approximately differentiable almost everywhere. An important tool in the proof is a Saks' Theorem-type result.

引用

页码：107 / 115

页数：9

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