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.
On some properties for dual spaces of Musielak-Orlicz function spaces
We will present relationships between the modular ρ* and the norm in the dual spaces in the case when a Musielak-Orlicz space is equipped with the Orlicz norm. Moreover, criteria for extreme points of the unit sphere of the dual space will be presented.
On some properties of the functions from Sobolev-Morrey type spaces
In this paper the spaces of type Sobolev-Morrey-W p,a,г,τl(Q,G)-are constructed, the differential properties are studied and it is proved that the functions from these spaces satisfy Holder's condition, in the case, if the domain G∋R n satisfies the flexible λ-horn condition.
On some structural properties of Banach function spaces and boundedness of certain integral operators
In this paper the notions of uniformly upper and uniformly lower -estimates for Banach function spaces are introduced. Further, the pair of Banach function spaces is characterized, where and satisfy uniformly a lower -estimate and uniformly an upper -estimate, respectively. The integral operator from into of the form is studied, where , , are prescribed functions under some local integrability conditions, the kernel is non-negative and is assumed to satisfy certain additional...
On some subsets of
On spaces and
On spaces of measurable functions
On spaces with mixed modulars and some spaces of temperate distributions
On Strongly WCG Banach Spaces.
On subspaces of H¹ isomorphic to H¹