Application of the averaging method for the solution of boundary problems for ordinary differential and integro-differential equations
Sur les applications de la notion de moment d'inertie en géométrie
Les étoiles doubles à longue période. Propriétés statistiques et valeurs hypothétiques de leurs éléments
Arithmétique des lois de probabilités
Invalid Vitali theorems
Metric spaces in which Prohorov's theorem is not valid
On an inequality concerning Cartesian multiplication
On numerical and non-numerical ecart
Borel and weakly Borel sets in Banach spaces
Category, Boolean algebras and measure
On cohesive mappings
On pseudo-open mappings
Factorials and the general continuum hypothesis
Monotone mappings and cellularity of ordered sets
The notion of -shape
О розмерности топологических пространств
Spaces of Lipschitz type, embeddings and entropy numbers
AbstractWe establish the sharpness of the embedding of certain Besov and Triebel-Lizorkin spaces in spaces of Lipschitz type. In particular, this proves the sharpness of the Brézis-Wainger result concerning the “almost” Lipschitz continuity of elements of the Sobolev space , where 1 < p < ∞. Upper and lower estimates are obtained for the entropy numbers of related embeddings of Besov spaces on bounded domains. CONTENTSIntroduction...........................................................51....
Infinite primes and ordered fields
CONTENTSIntroduction....................................................................................... 5§ 1. Preliminaries............................................................................ 8§ 2. Constructions........................................................................... 10§ 3. Orders and modes.................................................................. 13§ 4. Conic primes............................................................................ 19§ 5. Intersections...
Measure-additive coverings and measurable selectors
Each reference is followed by a list of the paragraphs referring to it.
Spaces of D-paraanalytic elements
Let X be a linear space. Consider a linear equation(*) P(D)x = y, where y ∈ E ⊂ X,with a right invertible operator D ∈ L(X) and, in general, operator coefficients. The main purpose of this paper is to characterize those subspaces E ⊂ X for which all solutions of (*) belong to E (provided that they exist). This leads, even in the classical case of ordinary differential equations with scalar coefficients, to a new class of -functions, which properly contains the classes of analytic functions of a...
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