Two weight L^{p} inequalities for fractional vector Riesz transforms and doubling measures
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866913347064037376 |
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| author | Sawyer, Eric T. Wick, Brett D. |
| author_facet | Sawyer, Eric T. Wick, Brett D. |
| contents | If T is a fractional vector Riesz transform, 1<p<infinity, and sigma and omega are doubling measures, then the two weight L^{p} norm inequality holds if and only if the quadratic triple testing conditions of Hytönen and Vuorinen hold. We also show that these quadratic triple testing conditions can be relaxed to quadratic local testing conditions, quadratic offset Muckenhoupt conditions, and a quadratic weak boundedness property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_01920 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Two weight L^{p} inequalities for fractional vector Riesz transforms and doubling measures Sawyer, Eric T. Wick, Brett D. Classical Analysis and ODEs If T is a fractional vector Riesz transform, 1<p<infinity, and sigma and omega are doubling measures, then the two weight L^{p} norm inequality holds if and only if the quadratic triple testing conditions of Hytönen and Vuorinen hold. We also show that these quadratic triple testing conditions can be relaxed to quadratic local testing conditions, quadratic offset Muckenhoupt conditions, and a quadratic weak boundedness property. |
| title | Two weight L^{p} inequalities for fractional vector Riesz transforms and doubling measures |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2211.01920 |