A compact null set containing a differentiability point of every Lipschitz function
نویسندگان
چکیده
منابع مشابه
A Compact Null Set Containing a Differentiability Point of Every Lipschitz Function
We prove that in a Euclidean space of dimension at least two, there exists a compact set of Lebesgue measure zero such that any real-valued Lipschitz function defined on the space is differentiable at some point in the set. Such a set is constructed explicitly.
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2010
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-010-0613-4