Calderón–Lozanovskii interpolation on quasi-Banach lattices

Abstract

We consider the Calderón–Lozanovskii construction $\phi (X_0,X_1)$ in the context of quasi-Banach lattices, and we provide an extension of a result by Ovchinnikov concerning the associated interpolation methods ${\phi }^c$ and ${\phi }^0$. Our approach is based on the interpolation properties of $(\infty ,1)$-regular operators between quasi-Banach lattices.