On vector-valued Hörmander-Beurling spaces.
On very weak solutions of a class of nonlinear elliptic systems
In this paper we prove a regularity result for very weak solutions of equations of the type , where , grow in the gradient like and is not in divergence form. Namely we prove that a very weak solution of our equation belongs to . We also prove global higher integrability for a very weak solution for the Dirichlet problem
On weak Hessian determinants
We consider and study several weak formulations of the Hessian determinant, arising by formal integration by parts. Our main concern are their continuity properties. We also compare them with the Hessian measure.
On weak topology of Orlicz spaces.
This paper presents some properties of singular functionals on Orlicz spaces, from which criteria for weak convergence and weak compactness in such spaces are obtained.
On weighed spaces
On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces
Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces. Under some assumptions on the weights we give a characterization for such an operator to be bounded in terms of the weights involved as well as the functions ψ and ϕ
On weighted estimated for some systems of partial differential operators
On weighted inductive limits of non-Archimedean spaces of continuous functions
Si studiano alcune proprietà di un certo limite induttivo di spazi non-archimedei di funzioni continue. In particolare, si esamina la completezza di questo limite induttivo e si indaga il problema di quando lo spazio coincide con il proprio inviluppo proiettivo.
On Weighted Inductive Limits of Spaces of Continuous Function.
On weighted inequalities for parametric Marcinkiewicz integrals.
On weighted spaces of functions harmonic in
The paper establishes integral representation formulas in arbitrarily wide Banach spaces of functions harmonic in the whole .
On weighted spaces without a fundamental sequence of bounded sets.
On W*UR point and UR point of Orlicz spaces with Orlicz norm.
For Orlicz spaces with Orlicz norm, a criterion of W*UR point is given, and previous results about UR points and WUR points are amended.
On τδ-completeness of H(U).
On ω-convex functions
In Orlicz spaces theory some strengthened version of the Jensen inequality is often used to obtain nice geometrical properties of the Orlicz space generated by the Orlicz function satisfying this inequality. Continuous functions satisfying the classical Jensen inequality are just convex which means that such functions may be described geometrically in the following way: a segment joining every pair of points of the graph lies above the graph of such a function. In the current paper we try to obtain...
Ondelettes, espaces d’interpolation et applications
Nous établissons des résultats d’interpolation non-standards entre les espaces de Besov et les espaces et , avec des applications aux lemmes de régularité en moyenne et aux inégalités de type Gagliardo-Nirenberg. La preuve de ces résultats utilise les décompositions dans des bases d’ondelettes.
Ondelettes et espaces de Besov.
Ondelettes et fonctions splines
One-weight weak type estimates for fractional and singular integrals in grand Lebesgue spaces
We investigate weak type estimates for maximal functions, fractional and singular integrals in grand Lebesgue spaces. In particular, we show that for the one-weight weak type inequality it is necessary and sufficient that a weight function belongs to the appropriate Muckenhoupt class. The same problem is discussed for strong maximal functions, potentials and singular integrals with product kernels.
Open problems for nonlinear dominated operators on locally bounded spaces of measurable functions.