Universal differentiability sets and maximal directional derivatives in Carnot groups
نویسندگان
چکیده
منابع مشابه
Differentiability via Directional Derivatives
Let F be a continuous function from an open subset D of a separable Banach space X into a Banach space Y. We show that if there is a dense G8 subset A of D and a Gs subset H of X whose closure has nonempty interior, such that for each a E A and each x E H the directional derivative DxF(a) of F at a in the direction x exists, then F is Giteaux differentiable on a dense G8 subset of D. If X is re...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2019
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2017.11.006