Singular invariant measures on the line
Singular measures and -capacity on weighted Sobolev classes.
Singular sets of convex bodies and surfaces with generalized curvatures.
Size minimizing surfaces
We prove a new existence theorem pertaining to the Plateau problem in -dimensional Euclidean space. We compare the approach of E.R. Reifenberg with that of H. Federer and W.H. Fleming. A relevant technical step consists in showing that compact rectifiable surfaces are approximatable in Hausdorff measure and in Hausdorff distance by locally acyclic surfaces having the same boundary.
Small deviations of Gaussian random fields in -spaces.
Small non-σ-porous sets in topologically complete metric spaces
Small sets and hypercyclic vectors
We study the ``smallness'' of the set of non-hypercyclic vectors for some classical hypercyclic operators.
Small sets with respect to certain classes of topologies
Small systems – on approximation of compact sets of measurable functions to compact subsets of
Smooth fractal interpolation.
Smoothness conditions on measures using Wallman spaces.
Sobre el operador maximal de Hardy-Littlewood y las propiedades de crecimiento.
Sobre la derivabilidad del producto de medidas vectoriales.
Sobre los teoremas de Lyapunov y de Radon-Nikodym.
Solution d'un problème de R. Haydon
Solution of a problem of M. Katz concerning the optimization of a functional
Solution of a problem of Ulam on countable sequences of sets
Solution to the gradient problem of C.E. Weil.
In this paper we give a complete answer to the famous gradient problem of C. E. Weil. On an open set G ⊂ R2 we construct a differentiable function f: G → R for which there exists an open set Ω1 ⊂ R2 such that ∇f(p) ∈ Ω1 for a p ∈ G but ∇f(q) ∉ Ω1 for almost every q ∈ G. This shows that the Denjoy-Clarkson property does not hold in higher dimensions.
Some additive properties of sets of real numbers
Some applications of strong Lusin sets