Anisotropic function spaces: Hardy's inequality and traces on surfaces
Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
We study spectral properties of transfer operators for diffeomorphisms on a Riemannian manifold . Suppose that is an isolated hyperbolic subset for , with a compact isolating neighborhood . We first introduce Banach spaces of distributions supported on , which are anisotropic versions of the usual space of functions and of the generalized Sobolev spaces , respectively. We then show that the transfer operators associated to and a smooth weight extend boundedly to these spaces, and...
Anisotropic Sobolev inequalities
Anisotropic symmetrization
(Annexe) Convergence en mesure des séries aléatoires vectorielles à multiplicateur borné
Another extension of Orlicz--Sobolev spaces to metric spaces.
Another generalization of the Dugundji extension theorem
Anticommutative analytic forms on fully nuclear spaces.
Antisymmetry and analytic structure in the spectrum of a uniform Frechet algebra.
Application des techniques à la théorie des idéaux d’une algèbre de fonctions holomorphes avec poids
Application des ultraproduits à l'étude des espaces et des algèbres de Banach
Application Leindler spaces to the real interpolation method.
Application of Bishop-Phelps theorem in the approximation theory.
Applications de dualité dans les espaces de Köthe
Applications de radonification des mesures compactologiques d'un espace métrique
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.
Approximation and entropy numbers of compact Sobolev embeddings
The aim of the paper is twofold. First we give a survey of some recent results concerning the asymptotic behavior of the entropy and approximation numbers of compact Sobolev embeddings. Second we prove new estimates of approximation numbers of embeddings of weighted Besov spaces in the so called limiting case.