Vol. 331, No. 1, 2025

Proceedings of the Steklov Institute of Mathematics

Integration of Functions with Values in Spaces of Measures

Miloš Arsenović, Vladimir I. Bogachev, and Mihailo Krstić p. 1 abstract

On Discrepancy in Systems of Subsets

S. V. Astashkin and K. V. Lykov p. 28 abstract

Properties of \((q_0,q_1)\) Ideal Spaces

Elza G. Bakhtigareeva and Mikhail L. Goldman p. 42 abstract

Function Spaces and Boundary Value Problems in Domains of a Hilbert Space

V. M. Busovikov, Yu. N. Orlov, and V. Zh. Sakbaev p. 57 abstract

The Holmes–Thompson Area of \(\ell^1_4\) Is Not Totally Convex

I. M. Vasilyev p. 70 abstract

Hardy–Littlewood Inequalities for Functions in Hardy–Lorentz Type Spaces

V. G. Krotov and M. M. Loginovskaya p. 81 abstract

On Optimal Recovery of Fractional Laplacians from Inaccurate Information

G. G. Magaril-Il’yaev and E. O. Sivkova p. 96 abstract

Kolmogorov Widths of Balls in Mixed Norms: The Case of Rigidity

Yuri Malykhin and Konstantin Ryutin p. 110 abstract

On \(L_p\)-Integrability of Multiple Trigonometric Series with General Monotone Coefficients

A. B. Mukanov and E. D. Nursultanov p. 118 abstract

A Survey of Results on 1D Steklov Type Inequalities

A. I. Nazarov and A. P. Shcheglova p. 134 abstract

Function Space and Variational Problem for a Differential Equation with Degeneration

R. Oinarov and A. A. Kalybay p. 148 abstract

Multidimensional Discrete Hardy Inequalities

V. D. Stepanov and E. P. Ushakova p. 165 abstract

Mapping Properties of the Fourier Transform in Spaces with Dominating Mixed Smoothness

Hans Triebel p. 181 abstract

Riemann–Liouville Fractional Integrals in Besov-Type Spaces

E. P. Ushakova p. 196 abstract

Intersection Representations of Besov and Bessel Potential Spaces Involving Tensor Products

Markus Hansen, Winfried Sickel, Dachun Yang, and Wen Yuan p. 236 abstract

Sparse Approximation and Sampling Recovery on Function Classes with a Structural Condition

A. Yu. Shadrin, V. N. Temlyakov, and S. Yu. Tikhonov p. 270 abstract

Spectral Problem for a Differential Operator with Involution

A. A. Shkalikov p. 284 abstract

Matrix-Weighted Besov–Triebel–Lizorkin Spaces of Optimal Scale: Boundedness of Pseudo-differential, Trace, and Calderón–Zygmund Operators

Dachun Yang, Wen Yuan, and Mingdong Zhang p. 297 abstract