On some properties of Lipschitz mappings of the real line into a normed space

被引：0
|
作者：
S. Ponomarev
M. Turowska
机构：
[1] Institute of Mathematics,
来源：
Siberian Mathematical Journal | 2009年 / 50卷
关键词：
normed space; contingent (tangent cone); Lipschitz mapping; differentiability; Steklov’s regularization; porous set;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that for each normed space Y of infinite dimension and each porous set E ⊂ ℝ there exists a Lipschitz mapping f: ℝ → Y such that the graph of f has a tangent at each of its points and f is not differentiable at any point of E. In this article we continue our research in [1] on contingents.
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页码：322 / 329
页数：7
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