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arXiv · 2406.11663

A note on one sided extrapolation of compactness and applications

Francisco Javier Martín-Reyes·Israel P. Rivera-Ríos
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Abstract

In this paper one sided counterparts of compactness extrapolation results of Hyt\"onen and Lappas are provided. As a consequence of those results, compactness results for one sided singular integrals, commutators of one sided fractional integrals and a certain class of $L^{r}$-H\"ormander operators are provided. The results for commutators of $L^{r}$-H\"ormander operators seem new even in the classical setting.

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Francisco Javier Martín-Reyes, Israel P. Rivera-Ríos. 2024-06-17. A note on one sided extrapolation of compactness and applications. https://arxiv.org/abs/2406.11663

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