RUS  ENG
Full version
JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik SamU. Estestvenno-Nauchnaya Ser., 2025 Volume 31, Issue 3, Pages 7–14 (Mi vsgu778)

Mathematics

Formulas for $\mathcal{K}_p$–functional for some pairs of finite-dimensional spaces

V. A. Buryy, R. F. Uzbekov

Samara National Research University, Samara, Russian Federation

Abstract: This article discusses the question of the exact formula for $\mathcal{K}$–functional for a pair $\left(\lambda_1^n(\omega),l_\infty^n(h)\right)$ and the equivalent formula for $\mathcal{K}_p$–functional for a pair $\left(\lambda_p^n(\omega),l_\infty^n(h)\right)$.

Keywords: $\mathcal{K}$–functional, $\mathcal{K}_p$–functional, Banach pair, finite-dimensional Lorentz space, $l_\infty^n$ space, $\mathcal{K}$–method of interpolation, interpolation space, equivalent norms.

UDC: 510.6

Received: 17.09.2025
Revised: 22.10.2025
Accepted: 05.11.2025

DOI: 10.18287/2541-7525-2025-31-3-7-14



© Steklov Math. Inst. of RAS, 2026