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
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
Applications sommantes et radonifiantes
Soient , des espaces de Banach , des espaces d’Orlicz, on définit les applications sommantes de dans . On montre que de telles applications sont radonifiantes de dans .On donne une factorisation caractéristique des applications sommantes.
Applications -sommantes
Approach regions for the square root of the Poisson kernel and boundary functions in certain Orlicz spaces
If the Poisson integral of the unit disc is replaced by its square root, it is known that normalized Poisson integrals of and weak boundary functions converge along approach regions wider than the ordinary nontangential cones, as proved by Rönning and the author, respectively. In this paper we characterize the approach regions for boundary functions in two general classes of Orlicz spaces. The first of these classes contains spaces having the property , . The second contains spaces that...
Approximate identities and Young type inequalities in Musielak-Orlicz spaces
We discuss the convergence of approximate identities in Musielak-Orlicz spaces extending the results given by Cruz-Uribe and Fiorenza (2007) and the authors F.-Y. Maeda, Y. Mizuta and T. Ohno (2010). As in these papers, we treat the case where the approximate identity is of potential type and the case where the approximate identity is defined by a function of compact support. We also give a Young type inequality for convolution with respect to the norm in Musielak-Orlicz spaces.