A Note on Complex Interpolation of Quasi-Banach Function Spaces
Functional Analysis
2024-12-18 v1
Abstract
Kalton and Mitrea characterized complex interpolation spaces of quasi-Banach function spaces as Calder\'on products if both interpolants are separable. We show that one separability assumption may be omitted and establish a Wolff-reiteration result with one non-separable endpoint space.
Cite
@article{arxiv.2412.12769,
title = {A Note on Complex Interpolation of Quasi-Banach Function Spaces},
author = {Moritz Egert and Benjamin W. Kosmala},
journal= {arXiv preprint arXiv:2412.12769},
year = {2024}
}