Published in Lobachevskii Journal of Mathematics
In this paper, conditions are derived for the multiplication, composition and weighted composition operators on weighted Lorentz–Karamata–Bochner (WLKB) spaces Lp,q,w;b, 1
Published in Lobachevskii Journal of Mathematics
For a complete Cartan foliation (M,F) we introduce two algebraic invariants g0(M,F) and g1(M,F) which we call structure Lie algebras. If the transverse Cartan geometry of (M,F) is effective then g0(M,F) = g1(M,F). Weprove that if g0(M,F) is zero then in the category of Cartan foliations the group of all basic automorphisms of the foliation (M,F) ad...
Published in Lobachevskii Journal of Mathematics
The problem of the existence of twice periodic solutions of a nonlinear elliptic system of second-order equations on a plane whose main periods are given is studied. Conditions for the existence of solutions with prescribed poles, as well as with prescribed zeros and poles, are obtained.
Published in Lobachevskii Journal of Mathematics
We consider linear normed spaces of measurable functions dominated by positive measurable function powered by real positive parameter. Also, we consider its dual and predual, and we propose a method for constructing a limit spaces of these functional spaces taken by power parameter. We prove that these limit spaces are (LF)-spaces and also prove th...
Published in Lobachevskii Journal of Mathematics
We generalize a known result dealing with absolute Riesz summability factors of infinite series by using a wider class of power increasing sequences. Some new and known results are also obtained.
Published in Lobachevskii Journal of Mathematics
We show that the new complex modified trigonometric sums, introduced by others, converge in the space L under a new class of sequences.
Published in Lobachevskii Journal of Mathematics
We consider the space obtained from spaces Triebel–Lizorkin with help interpolation by the real method. Embedding theorems for these spaces are studied. It is shown that the space of traces belong to the same class of spaces.
Published in Lobachevskii Journal of Mathematics
We present an algorithm for construction complete, orthogonal sequences special kind. This systems of functions depend on parameter and may be used for modeling of physical processes.
Published in Lobachevskii Journal of Mathematics
We consider a class of anisotropic elliptic differential equations of second order with divergent form and variable exponents. The corresponding elliptic operators are pseudo-monotone and coercive. We obtain solvability conditions for the Dirichlet problem in unbounded domains Ω ⊂ ℝn, n ≥ 2. The proof of existence of solutions is free of restrictio...
Published in Lobachevskii Journal of Mathematics
We study the behavior of singular integral along the real axis in the neighborhood of the point at infinity, when its density satisfy Hölder condition in any finite part of the real axis and is continuous function in the neighborhood of the point at infinity, which decreases with the order of decreasing same as the lower then the minus first power ...
