Fonctions aléatoires linéaires. Théorème de dualité
Fonctions continues et séparément additives
Fonctions mesurables et *-scalairement mesurables, mesures banachiques majorées, martingales banachiques, et propriété de Radon-Nikodym
Fourier Inequalities and Moment Subspaces in Weightes Lebesgue Spaces.
Fourier--Rademacher coefficients of functions in rearrangement-invariant spaces.
Fractal functions and Schauder bases
Fractional integral operators on with Morrey-Campanato norms
We introduce function spaces with Morrey-Campanato norms, which unify , and Morrey-Campanato spaces, and prove the boundedness of the fractional integral operator on these spaces.
Fractional powers of operators and Bessel potentials on Hilbert space
Free interpolation in Hardy-Orlicz spaces
From restricted type to strong type estimates on quasi-Banach rearrangement invariant spaces
Let X be a quasi-Banach rearrangement invariant space and let T be an (ε,δ)-atomic operator for which a restricted type estimate of the form for some positive function D and every measurable set E is known. We show that this estimate can be extended to the set of all positive functions f ∈ L¹ such that , in the sense that . This inequality allows us to obtain strong type estimates for T on several classes of spaces as soon as some information about the galb of the space X is known. In this paper...
From weak to strong types of -convergence by the Bocce criterion
Necessary and sufficient oscillation conditions are given for a weakly convergent sequence (resp. relatively weakly compact set) in the Bochner-Lebesgue space to be norm convergent (resp. relatively norm compact), thus extending the known results for . Similarly, necessary and sufficient oscillation conditions are given to pass from weak to limited (and also to Pettis-norm) convergence in . It is shown that tightness is a necessary and sufficient condition to pass from limited to strong convergence....
Full -regularity for minimizers of integral functionals with -growth.
Function spaces of BMO and Campanato type.
Function spaces of generalised smoothness [Book]
Function spaces related to continuous negative definite functions: ψ-Bessel potential spaces [Book]
Functional Equations and Linear Transformations. IV. Interpolation.
Further properties of Stepanov--Orlicz almost periodic functions
We revisit the concept of Stepanov--Orlicz almost periodic functions introduced by Hillmann in terms of Bochner transform. Some structural properties of these functions are investigated. A particular attention is paid to the Nemytskii operator between spaces of Stepanov--Orlicz almost periodic functions. Finally, we establish an existence and uniqueness result of Bohr almost periodic mild solution to a class of semilinear evolution equations with Stepanov--Orlicz almost periodic forcing term.
Gagliardo-Nirenberg inequalities in weighted Orlicz spaces
We derive inequalities of Gagliardo-Nirenberg type in weighted Orlicz spaces on ℝⁿ, for maximal functions of derivatives and for the derivatives themselves. This is done by an application of pointwise interpolation inequalities obtained previously by the first author and of Muckenhoupt-Bloom-Kerman-type theorems for maximal functions.
Gâteaux differentiability for functionals of type Orlicz-Lorentz.
Gateaux differentiable norms in Lp.