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On differentiability of mappings with finite dilation

In: Tatra Mountains Mathematical Publications, vol. 62, no. 1
Małgorzata Turowska
Detaily:
Rok, strany: 2015, 133 - 141
Kľúčové slová:
contingent (tangent cone), differentiability, Pettis theorem, Bochner integrability
O článku:
We study mappings $f\colon(a,b)\to Y$ with finite dilation having Lebesgue integrable majorant, where $Y$ is a real normed vector space. We construct Lipschitz mapping $f\colon (a,b)\to Y$, $\dim Y=\infty$, which is nowhere differentiable but its graph has everywhere trivial contingent. We show that if the contingent of the graph of a mapping with finite dilation is a nontrivial space, then $f$ is almost everywhere differentiable.
Ako citovať:
ISO 690:
Turowska, M. 2015. On differentiability of mappings with finite dilation. In Tatra Mountains Mathematical Publications, vol. 62, no.1, pp. 133-141. 1210-3195.

APA:
Turowska, M. (2015). On differentiability of mappings with finite dilation. Tatra Mountains Mathematical Publications, 62(1), 133-141. 1210-3195.