Pointwise estimates for rough operators with applications to Sobolev inequalities
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866909060576575488 |
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| author | Hoang, Cong Moen, Kabe Pérez, Carlos |
| author_facet | Hoang, Cong Moen, Kabe Pérez, Carlos |
| contents | We investigate Sobolev inequalities for several rough operators. We prove that several operators satisfy a pointwise bound by the Riesz potential applied to the gradient. From this inequality, we derive several new Sobolev-type inequalities with an operator on the left-hand side. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_10417 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Pointwise estimates for rough operators with applications to Sobolev inequalities Hoang, Cong Moen, Kabe Pérez, Carlos Classical Analysis and ODEs We investigate Sobolev inequalities for several rough operators. We prove that several operators satisfy a pointwise bound by the Riesz potential applied to the gradient. From this inequality, we derive several new Sobolev-type inequalities with an operator on the left-hand side. |
| title | Pointwise estimates for rough operators with applications to Sobolev inequalities |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2307.10417 |