Vashakmadze, Tamaz
Published in
Georgian Mathematical Journal

The basic problem of satisfaction of boundary conditions is considered when the generalized stress vector is given on the surfaces of elastic plates and shells. This problem has so far remained open for both refined theories in a wide sense and hierarchic type models. In the linear case, it was formulated by I. N. Vekua for hierarchic models. In th...

Almahdi, Fuad Ali Ahmed
Published in
Georgian Mathematical Journal

In this note, we indicate some errors in [S. Ali, N. A. Dar and M. Asci, On derivations and commutativity of prime rings with involution, Georgian Math. J. 23 2016, 1, 9–14] and present the correct versions of the erroneous results.

Kokilashvili, Vakhtang
Published in
Georgian Mathematical Journal

A new scale of weighted grand mixed norm Lebesgue spaces L w 1 p 1 , φ 1 ( L w 2 p 2 , φ 2 ) {L_{w_{1}}^{p_{1},\varphi_{1}}(L_{w_{2}}^{p_{2},\varphi_{2}})} is introduced and the boundedness criteria for multiple singular operators are established.

Duduchava, Roland
Published in
Georgian Mathematical Journal

The purpose of the present research is to investigate a general mixed type boundary value problem for the Laplace–Beltrami equation on a surface with the Lipschitz boundary 𝒞{\mathcal{C}} in the non-classical setting when solutions are sought in the Bessel potential spaces ℍps(𝒞){\mathbb{H}^{s}_{p}(\mathcal{C})}, 1p

Kokilashvili, Vakhtang
Published in
Georgian Mathematical Journal

A new scale of weighted grand mixed norm Lebesgue spaces L w 1 p 1 , φ 1 ( L w 2 p 2 , φ 2 ) {L_{w_{1}}^{p_{1},\varphi_{1}}(L_{w_{2}}^{p_{2},\varphi_{2}})} is introduced and the boundedness criteria for multiple singular operators are established.

Khmaladze, Emzar Kurdiani, Revaz Ladra, Manuel
Published in
Georgian Mathematical Journal

We study the capability property of Leibniz algebras via the non-abelian exterior product.

Kokilashvili, Vakhtang Mastyło, Mieczysław Meskhi, Alexander
Published in
Georgian Mathematical Journal

The paper deals with the exploration of those subclasses of the variable exponent Lebesgue space Lp(⋅){L^{p(\,\cdot\,)}} with minp(⋅)=1{\min p(\,\cdot\,)=1}, which are invariant with respect to Cauchy singular integral operators.

Lamiri, Imed Weslati, Jihen
Published in
Georgian Mathematical Journal

In this paper, we consider a natural extension in the context of d-orthogonality for asymptotic analysis of orthogonal polynomials. We introduce, for several d-orthogonal polynomials, asymptotic expansions in terms of d-Hermite ones. From these expansions, several limits between d-orthogonal polynomials are obtained.

Tephnadze, George
Published in
Georgian Mathematical Journal

In this paper, we investigate the strong summability of two-dimensional Walsh–Fourier series obtained in [F. Weisz, Strong convergence theorems for two-parameter Walsh–Fourier and trigonometric-Fourier series, Studia Math. 117 1996, 2, 173–194] (see Theorem W) and prove the sharpness of this result.

Kharazishvili, Alexander
Published in
Georgian Mathematical Journal

For certain families of topologies, the existence of a common Sierpiński–Zygmund function (of a common Sierpiński–Zygmund function in the strong sense) is established. In this connection, the notion of a Sierpiński–Zygmund space (of a Sierpiński–Zygmund space in the strong sense) is introduced and examined. The behavior of such spaces under some st...