21 citations · 23 across the 2 of their papers we have counts for
3 papers
math.FA2011
A universal differentiability set in Banach spaces with separable dual
Michael Doré, Olga Maleva
We show that any non-zero Banach space with a separable dual contains a totally disconnected, closed and bounded subset S of Hausdorff dimension 1 such that every Lipschitz functio…
math.FA2010★ 2 cited
A compact universal differentiability set with Hausdorff dimension one
Michael Doré, Olga Maleva
We give a short proof that any non-zero Euclidean space has a compact subset of Hausdorff dimension one that contains a differentiability point of every real-valued Lipschitz funct…
math.FA2008★ 21 cited
A compact null set containing a differentiability point of every Lipschitz function
Michael Doré, Olga Maleva
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…