Author:
CSÖRNYEI MARIANNA,WILSON BOBBY
Abstract
AbstractWe show that every continuous simple curve with σ-finite length has a tangent at positively many points. We also apply this result to functions with finite lower scaled oscillation; and study the validity of the results in higher dimension.
Publisher
Cambridge University Press (CUP)
Reference10 articles.
1. Linear dilatation and differentiability of homeomorphisms of $\mathbb{R}^{n}$
2. Scaled-oscillation and regularity
3. Sur la relation entre les propriétés tangentielles et métriques des ensembles cartésiens;Roger;C. R. Math. Acad. Sci. Paris.,1935
4. On the definition of tangents to sets of infinite linear measure
5. G. Alberti , M. Csörnyei and D. Preiss Paper in preparation.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献