On subspaces of Orlicz sequences spaces
On the -Laplacian.
On the Bloch space and convolution of functions in the Lp-valued case.
On the boundedness of classical operators on weighted Lorentz spaces.
On the Brudnyi-Krugljak duality theory of spaces formed by the K-method of interpolation.
On the -characteristic of fractional powers of linear operators
We describe the geometric structure of the -characteristic of fractional powers of bounded or compact linear operators over domains with arbitrary measure. The description builds essentially on the Riesz-Thorin and Marcinkiewicz-Stein-Weiss- Ovchinnikov interpolation theorems, as well as on the Krasnosel’skij-Krejn factorization theorem.
On the Classification of Complex Lindenstrauss Spaces.
On the closure of spaces of sums of ridge functions and the range of the -ray transform
For and an open bounded subset of definie as the closed subset of consisting of all functions that are constant almost everywhere on almost all lines parallel to . For a given set of directions , , we study for which it is true that the vector spaceThis problem arizes naturally in the study of image reconstruction from projections (tomography). An essentially equivalent problem is to decide whether a certain matrix-valued differential operator has closed range. If , the boundary...
On the completeness of -spaces over a charge
On the conjugates of some function spaces
On the continuity of Bessel potentials in Orlicz spaces.
It is shown that Bessel capacities in reflexive Orlicz spaces are non increasing under orthogonal projection of sets. This is used to get a continuity of potentials on some subspaces. The obtained results generalize those of Meyers and Reshetnyak in the case of Lebesgue classes.
On the continuity of strongly nonlinear potential
On the Convexity Coefficient of Orlicz Spaces.
On the density of smooth functions in Sobolev-Orlicz spaces.
On the differentiation of integrals of functions from Lφ(L)
On the differentiation of integrals of functions from Orlicz classes
On the embedding
On the embedding of 2-concave Orlicz spaces into L¹
In [K-S 1] it was shown that is equivalent to an Orlicz norm whose Orlicz function is 2-concave. Here we give a formula for the sequence so that the above expression is equivalent to a given Orlicz norm.
On the existence and uniqueness of integrable solutions of functional equations in Banach space.
On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²