Holmstedt's formula for the $K$-functional: the limit case $\theta_0=\theta_1$
Functional Analysis
2022-10-25 v1
Abstract
We consider -interpolation spaces involving slowly varying functions, and derive necessary and sufficient conditions for a Holmstedt-type formula to be held in the limiting case We also study the case Applications are given to Lorentz-Karamata spaces, generalized gamma spaces and Besov spaces.
Keywords
Cite
@article{arxiv.2210.12377,
title = {Holmstedt's formula for the $K$-functional: the limit case $\theta_0=\theta_1$},
author = {Irshaad Ahmed and Alberto Fiorenza and Amiran Gogatishvili},
journal= {arXiv preprint arXiv:2210.12377},
year = {2022}
}