Contents

Mathematical Notes


Vol. 113, No. 1-2, 2023


Research Articles

On a Polynomial Version of the Sum-Product Problem for Subgroups

S. A. Aleshina, and I. V. V’yugin p. 3  abstract

On Lattice Properties of the Lorentz Spaces \(L_{p,q}\)

S. V. Astashkin p. 10  abstract

Embeddings of Spaces of Functions of Positive Smoothness on a Hölder Domain in Lebesgue Spaces

O. V. Besov p. 18  abstract

On the Connection between the Growth of Zeros and the Decrease of Taylor Coefficients of Entire Functions

G. G. Braichev p. 27  abstract

Perturbed Toeplitz Matrices and Their LU-Decompositions

Wenchang Chu, and Emrah Kılıç p. 39  abstract

Spectral Synthesis on the Reduced Heisenberg Group

V. V. Volchkov, and Vit. V. Volchkov p. 49  abstract

On Orthogonally Additive Operators in Lattice-Normed Spaces

N. A. Dzhusoeva, and S. Yu. Itarova p. 59  abstract

Solution Blow-Up for a Fractional Fourth-Order Equation of Moore–Gibson–Thompson Type with Nonlinearity Nonlocal in Time

F. Mesloub, A. Merah, and S. Boulaaras p. 72  abstract

Short Complete Diagnostic Tests for Circuits Implementing Linear Boolean Functions

K. A. Popkov p. 80  abstract

Determination of the Heat Transfer Coefficient in Mathematical Models of Heat and Mass Transfer

S. G. Pyatkov, and V. A. Baranchuk p. 93  abstract

Influence of Conjugacy Class Sizes of Some Elements on the Structure of a Finite Group

Ruifang Chen, and Xianhe Zhao p. 109  abstract

Optimal Recovery Methods Exact on Trigonometric Polynomials for the Solution of the Heat Equation

S. A. Unuchek p. 116  abstract

The Structure of Finite Groups with an \(\mathcal M\)-Permutable Sylow Subgroup

Yuyun Wang, Wei Liu, Long Miao, Jinxing Zhao, and Xindan Chen p. 129  abstract


Short Communications

Homogenization of Operators with Perturbations of General Form in the Lower-Order Terms

D. I. Borisov p. 138  abstract

Logan–Hermite Extremal Problems for Entire Functions of Exponential Type

D. V. Gorbachev, and V. I. Ivanov p. 143  abstract

On the Derived Category of the Cayley Grassmannian

L. A. Guseva p. 149  abstract

Measure of Images of Contact Mappings on Two-Step Sub-Lorentzian Structures

M. B. Karmanova p. 154  abstract

Sub-Lorentzian Problem on the Heisenberg Group

Yu. L. Sachkov, and E. F. Sachkova p. 159  abstract


Research Articles

Density of Zeros of the Cartwright Class Functions and the Helson–Szegő Type Condition

S. A. Avdonin, and S. A. Ivanov p. 165  abstract

Infinitely Many Solutions for a Class of Kirchhoff Problems Involving the \(p(x)\)-Laplacian Operator

A. Ghanmi, L. Mbarki, and K. Saoudi p. 172  abstract

On the Homogeneity of Products of Topological Spaces

A. Yu. Groznova p. 182  abstract

Truncated Sharing of Subsets and Uniqueness of \(L\)-Functions in the Extended Selberg Class

Ha Huy Khoai, Vu Hoai An, and Pham Ngoc Hoa p. 191  abstract

On a Problem of V. V. Nemytskii

B. S. Kalitine p. 200  abstract

System of Inequalities in Continued Fractions from Finite Alphabets

I. D. Kan, and G. Kh. Solovyov p. 212  abstract

Instability of Equilibria in a Solenoidal Force Field

V. V. Kozlov p. 220  abstract

Asymptotics of Solutions of Two-Term Differential Equations

N. N. Konechnaja, K. A. Mirzoev, and A. A. Shkalikov p. 228  abstract

Harmonicity of Slant Conformal Riemannian Maps

R. Kaushal, R. Kumar, and R. Rani p. 243  abstract

On Quantities of the Type of Modulus of Continuity and Analogs of \(K\)-Functionals in the Spaces \(S^{(p,q)}(\sigma^{m-1})\)

R. A. Lasuriya p. 255  abstract

Finite-Dimensional Reduction of Systems of Nonlinear Diffusion Equations

A. V. Romanov p. 267  abstract

Spectra of Self-Similar Ergodic Actions

V. V. Ryzhikov p. 274  abstract

Hardy Inequality in Variable Grand Lebesgue Spaces for Nonincreasing Functions

M. Singh, and P. Jain p. 282  abstract

Behavior of Solutions to the Fuzzy Difference Equation \(z_{n+1}=A+\dfrac{B}{z_{n-m}}\)

İ.I. Yalçınkaya, H. El-Metwally, D. T. Tollu, and H. Ahmad p. 292  abstract


Short Communications

On a Conjecture of Bourgain

V. A. Zorich p. 303  abstract

Marcinkiewicz Interpolation Theorem for Spaces of Hardy Type

V. G. Krotov p. 306  abstract

Polyorthogonalization of a Function System

A. P. Starovoitov p. 311  abstract