Optimal weighted Wente's inequality
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913225047539712 |
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| author | Gianocca, Matilde |
| author_facet | Gianocca, Matilde |
| contents | We prove $L^\infty$ and $W^{1,2}$ weighted Wente's inequalities. We prove in particular the critical case: for the $|x|^2$ weighted Wente's estimate the optimal weight is $|x|^2\log|x|$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04156 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal weighted Wente's inequality Gianocca, Matilde Analysis of PDEs 35G15, 46E35, 49J40, 31Axx, 58E20 We prove $L^\infty$ and $W^{1,2}$ weighted Wente's inequalities. We prove in particular the critical case: for the $|x|^2$ weighted Wente's estimate the optimal weight is $|x|^2\log|x|$. |
| title | Optimal weighted Wente's inequality |
| topic | Analysis of PDEs 35G15, 46E35, 49J40, 31Axx, 58E20 |
| url | https://arxiv.org/abs/2402.04156 |