A note on one-sided extrapolation of compactness and applications
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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 Lr-Hörmander operators are given. The results for commutators of Lr-Hörmander operators seem new even in the classical setting.
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Bibliographic citation
Martín-Reyes, Francisco J.; Rivera-Ríos, Israel P. A note on one-sided extrapolation of compactness and applications. Studia Math. 284 (2025), no. 1, 39–68.