A note on one-sided extrapolation of compactness and applications
Studia Mathematica
MSC: Primary 42B25; Secondary 47B38, 46B70, 42B20
DOI: 10.4064/sm240717-12-3
Published online: 8 August 2025
Abstract
In this paper one-sided counterparts of compactness extrapolation results of Hytönen and Lappas (2021) are provided. As a consequence, compactness results for one-sided singular integrals, commutators of one-sided fractional integrals and a certain class of $L^{r}$-Hörmander operators are given. The results for commutators of $L^{r}$-Hörmander operators seem new even in the classical setting.
