A generalized version of Holmstedt’s formula for the $K$-functional
Volume 176 / 2024
Colloquium Mathematicum 176 (2024), 77-85
MSC: Primary 46B70
DOI: 10.4064/cm9388-7-2024
Published online: 10 September 2024
Abstract
Let $(A_0, A_1)$ be a compatible couple of quasi-normed spaces, and let $\Phi_0$ and $\Phi_1$ be two general parameters of the $K$-interpolation method. We compute the $K$-functional for the couple $((A_0,A_1)_{\Phi_0}, (A_0, A_1)_{\Phi _1})$ in terms of the $K$-functional for $(A_0, A_1)$.
