On vector-topological properties of zero-neighbourhoods of topological vector 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 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 inequalities for parametric Marcinkiewicz integrals.
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 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 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.
Opérateurs convexifiants
Opérateurs de Schrödinger avec potentiel singuliér magnétique, dans un ouvert arbitraire de
Opérateurs linéaires entre espaces d'Orlicz non localement convexes
Opérateurs réguliers sur les espaces
Operators induced by transformations of Gaussian variables
Operators into which factor through
Operators on continuous function spaces and L1-spaces
Operators on Lorentz sequence spaces
Description of multiplication operators generated by a sequence and composition operators induced by a partition on Lorentz sequence spaces , , is presented.
Optimal bounds of restricted type for the Hardy operator minus the identity on the cone of radially decreasing functions
We find the norm of the Hardy operator minus the identity acting on the cone of radially decreasing functions on minimal Lorentz spaces (restricted type estimates).