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

被引：0
|
作者：
Ponomarev, S. [1 ]
Turowska, M. [1 ]
机构：
[1] Inst Math, Slupsk, Poland
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2009年 / 50卷 / 02期
关键词：
normed space; contingent (tangent cone); Lipschitz mapping; differentiability; Steklov's regularization; porous set;
D O I：
10.1007/s11202-009-0037-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that for each normed space Y of infinite dimension and each porous set E aS, 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：8
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