A note on one sided extrapolation of compactness and applications
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910530232385536 |
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| author | Martín-Reyes, Francisco Javier Rivera-Ríos, Israel P. |
| author_facet | Martín-Reyes, Francisco Javier Rivera-Ríos, Israel P. |
| contents | In this paper one sided counterparts of compactness extrapolation results of Hytönen 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 $L^{r}$-Hörmander operators are provided. The results for commutators of $L^{r}$-Hörmander operators seem new even in the classical setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11663 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on one sided extrapolation of compactness and applications Martín-Reyes, Francisco Javier Rivera-Ríos, Israel P. Classical Analysis and ODEs In this paper one sided counterparts of compactness extrapolation results of Hytönen 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 $L^{r}$-Hörmander operators are provided. The results for commutators of $L^{r}$-Hörmander operators seem new even in the classical setting. |
| title | A note on one sided extrapolation of compactness and applications |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2406.11663 |