On ordinary differentiability of Bessel potentials
On -convex Musielak-Orlicz spaces
In this paper there is proved that every Musielak-Orlicz space is reflexive iff it is -convex. This is an essential extension of the results given by Ye Yining, He Miaohong and Ryszard Płuciennik [16].
On Projections and monotony in Lp-spaces.
On projections of onto translation-invariant subspaces
On Property β of Rolewicz in Köthe-Bochner Function Spaces
It is proved that the Köthe-Bochner function space E(X) has property β if and only if X is uniformly convex and E has property β. In particular, property β does not lift from X to E(X) in contrast to the case of Köthe-Bochner sequence spaces.
On quotients of which are quotients of
On restriction properties of multiplication operators.
On reverse Hardy's inequality.
On Schwartz's C-spaces and Orlicz's O-spaces
On sequentially M-integrable distributions
On some basic relations in the abstract Hardy algebra theory
On some convexities of Orlicz and Orlicz-Bochner spaces
On some convexity properties in the Besicovitch-Musielak-Orlicz space of almost periodic functions with Luxemburg norm
In this article, it is shown that geometrical properties such as local uniform convexity, mid point local uniform convexity, H-property and uniform convexity in every direction are equivalent in the Besicovitch-Musielak-Orlicz space of almost periodic functions endowed with the Luxemburg norm.
On some convexity properties of Musielak-Orlicz spaces
On some convexity properties of Orlicz spaces of vector valued functions.
On some countably modulared spaces
On some equivalent geometric properties in the Besicovitch-Orlicz space of almost periodic functions with Luxemburg norm
The paper is concerned with the characterization and comparison of some local geometric properties of the Besicovitch-Orlicz space of almost periodic functions. Namely, it is shown that local uniform convexity, -property and strict convexity are all equivalent. In our approach, we first prove some metric type properties for the modular function associated to our space. These are then used to prove our main equivalence result.
On some fractional order Hardy inequalities.
On some global and local geometric properties of Calderón-Lozanovskiĭ spaces
Criteria for full k-rotundity (k ∈ ℕ, k ≥ 2) and uniform rotundity in every direction of Calderón-Lozanovskiĭ spaces are formulated. A characterization of -points in these spaces is also given.
On some mean oscillation inequalities for martingales.