An elementary proof of Komlós-Révész theorem in Hilbert spaces.
An elliptic semilinear equation with source term involving boundary measures: the subcritical case.
We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain Ω of RN (N ≥ 2),⎧ Δu + uq = 0, in Ω⎨⎩ u = μ, on ∂Ωwhere 1 < q < (N + 1)/(N - 1) and μ is a Radon measure on ∂Ω. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted Marcinkiewicz spaces.
An embedding theorem for Sobolev type functions with gradients in a Lorentz space
The purpose of this paper is to prove an embedding theorem for Sobolev type functions whose gradients are in a Lorentz space, in the framework of abstract metric-measure spaces. We then apply this theorem to prove absolute continuity and differentiability of such functions.
An estimate in the spirit of Poincaré's inequality
An estimation of the Lebesgue functions of biorthogonal systems with an application to the non-existence of some bases in C and
An example of a reflexive Lorentz Gamma space with trivial Boyd and Zippin indices
We show that for every there exists a weight such that the Lorentz Gamma space is reflexive, its lower Boyd and Zippin indices are equal to zero and its upper Boyd and Zippin indices are equal to one. As a consequence, the Hardy-Littlewood maximal operator is unbounded on the constructed reflexive space and on its associate space .
An existence theorem for the Urysohn integral equation in Banach spaces
An inequality for the indefinite integral of a function in
An inequality in Orlicz function spaces with Orlicz norm
We use Simonenko quantitative indices of an -function to estimate two parameters and in Orlicz function spaces with Orlicz norm, and get the following inequality: , where and are Simonenko indices. A similar inequality is obtained in with Orlicz norm.
An integral extrapolation theorem with applcations
An interpolation theorem with -weighted spaces
An -criterion of amenability for a locally compact group.
An L...-Estimate for the gradient of extremals.
An operator characterization of -spaces in a class of Orlicz spaces
We consider an embedding of the group of invertible transformations of [0,1] into the algebra of bounded linear operators on an Orlicz space. We show that if this embedding preserves the group action then the Orlicz space is an -space for some 1 ≤ p < ∞.
An optimal endpoint trace embedding
We find an optimal Sobolev-type space on all of whose functions admit a trace on subspaces of of given dimension. A corresponding trace embedding theorem with sharp range is established.
Analyse harmonique, analyse complexe et géométrie des espaces de Banach
(Annexe) Convergence en mesure des séries aléatoires vectorielles à multiplicateur borné
Application des ultraproduits à l'étude des espaces et des algèbres de Banach
Application Leindler spaces to the real interpolation method.
Applications de dualité dans les espaces de Köthe