Estimées à poids de l’opérateur de Green sur une variété de Stein
Factorization of compact operators and applications to the approximation problem
Functions in the space at boundary points of the interior.
Generalised functions of bounded deformation
We introduce the space of generalized functions of bounded deformation and study the structure properties of these functions: the rectiability and the slicing properties of their jump sets, and the existence of their approximate symmetric gradients. We conclude by proving a compactness results for , which leads to a compactness result for the space of generalized special functions of bounded deformation. The latter is connected to the existence of solutions to a weak formulation of some variational...
Hilbert-valued forms and barriers on weakly pseudoconvex domains.
We introduce an alternative proof of the existence of certain Ck barrier maps, with polynomial explosion of the derivatives, on weakly pseudoconvex domains in Cn. Barriers of this sort have been constructed very recently by J. Michel and M.-C. Shaw, and have various applications. In our paper, the adaptation of Hörmander's L2 techniques to suitable vector-valued functions allows us to give a very simple approach of the problem and to improve some aspects of the result of Michel and Shaw, regarding...
Integration with respect to a vector measure and function approximation.
Inverse limits need not exist in the category of compact spaces and Feller kernels: a counterexample
Lattice Size Estimates for Gabor Decompositions.
Limites uniformes de polynômes dans un corps valué complet non archimédien
Linear operators in the space of regulated functions
Representation of bounded and compact linear operators in the Banach space of regulated functions is given in terms of Perron-Stieltjes integral.
On a generalization of Nikolskij's extension theorem in the case of two variables
A modification of the Nikolskij extension theorem for functions from Sobolev spaces is presented. This modification requires the boundary to be only Lipschitz continuous for an arbitrary ; however, it is restricted to the case of two-dimensional bounded domains.
On relations approximated by continuous functions
Parametric and Non-Parametric Minima.
Points of diffusion of linear operators and almost diffuse operators in spaces of continuous functions.
Quasimartingales et formes linéaires associées
Quelques curieuses topologies sur et
Pour tout compact complètement régulier , on désigne par l’espace des mesures de Radon sur le compactifié de Stone-Cech de et par son sous-espace formé des mesures -régulières au sens de Varadarajan. On décrit alors sur ces deux espaces des topologies , , qui possèdent des propriétés curieuses parmi lesquelles il convient de citer la suivante : pour et pour tout non pseudocompact, l’espace est non quasi-complet mais ses précompacts sont relativement compacts. Ce résultat permet...
Quelques résultats d'existence et régularité pour un problème non linéaire de la théorie du contrôle
Regulated functions
The first section consists of auxiliary results about nondecreasing real functions. In the second section a new characterization of relatively compact sets of regulated functions in the sup-norm topology is brought, and the third section includes, among others, an analogue of Helly's Choice Theorem in the space of regulated functions.
Regulated functions and the Perron-Stieltjes integral
Remarks on delta-convex functions