Analysis reveals new compactness results for one-sided singular integrals and Lr-Hörmander operators, suggesting broader applicability.
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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Martín-Reyes et al. (2025) studied this question.
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