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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

2021, Volume 312

| General information | Contents |


Function Spaces, Approximation Theory, and Related Problems of Analysis


Collected papers. In commemoration of the 115th anniversary of Academician Sergei Mikhailovich Nikol'skii

Sergei Mikhailovich Nikol'skii (photo)
Stable Solvability of Nonlinear Equations under Completely Continuous Perturbations
A. V. Arutyunov, S. E. Zhukovskiy
7
Optimal Cubature Formulas on Classes of Periodic Functions in Several Variables
D. B. Bazarkhanov
22
Optimal Calderón Spaces for Generalized Bessel Potentials
Elza G. Bakhtigareeva, Mikhail L. Goldman, Dorothee D. Haroske
43
Sharp Extrapolation Theorems for Local Morrey Spaces
E. I. Berezhnoi
82
Interpolation of Spaces of Functions of Positive Smoothness on a Domain
O. V. Besov
98
Inequalities for Orthogonal Series and a Strengthening of the Carleman–Olevskii Theorem for Complete Orthonormal Systems
S. V. Bochkarev
111
Interpolation Theorems for Nonlinear Operators in General Morrey-Type Spaces and Their Applications
V. I. Burenkov, E. D. Nursultanov
131
Kernels of Trace Functionals and Field-Theory Boundary Value Problems on the Plane
Yu. A. Dubinskii
158
On a Limiting Case for Pointwise Multiplication in Nikol'skii–Besov Spaces
Winfried Sickel
170
On the Density of Compactly Supported Functions in a Space with Multiweighted Derivatives
A. A. Kalybay, Zh. A. Keulimzhayeva, R. Oinarov
188
On the Boundedness of Integral Operators in Weighted Grand Morrey Spaces
V. M. Kokilashvili, A. N. Meskhi
203
Optimal Recovery of Pipe Temperature from Inaccurate Measurements
G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. O. Sivkova
216
Kolmogorov Widths of the Besov Classes $B^1_{1,\theta }$ and Products of Octahedra
Yuri V. Malykhin
224
On a Class of Functionals on a Weighted First-Order Sobolev Space on the Real Line
D. V. Prokhorov
236
On Two-Dimensional Bilinear Inequalities with Rectangular Hardy Operators in Weighted Lebesgue Spaces
V. D. Stepanov, G. E. Shambilova
251
Weakly Canceling Operators and Singular Integrals
D. M. Stolyarov
259
Approximation of the Derivatives of a Function in Lagrange Interpolation on Low-Dimensional Simplices
Yu. N. Subbotin, N. V. Baidakova
272
Sampling Discretization of Integral Norms of the Hyperbolic Cross Polynomials
V. N. Temlyakov
282
Weighted Fourier Inequalities and Boundedness of Variation
Sergey Yu. Tikhonov
294
Spline Wavelet Decomposition in Weighted Function Spaces
E. P. Ushakova
313


© Steklov Math. Inst. of RAS, 2025