Optimal weak estimates for Riesz potentials
In this note we prove a sharp reverse weak estimate for Riesz potentials \[ \Vert I_{s}(f)\Vert _{L^{\frac{n}{n-s},\infty }}\ge \gamma _sv_{n}^{\frac{n-s}{n}}\Vert f\Vert _{L^1}~\text{for}~0
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-10-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.479/ |
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| author | Huang, Liang Tang, Hanli |
| author_facet | Huang, Liang Tang, Hanli |
| author_sort | Huang, Liang |
| collection | DOAJ |
| description | In this note we prove a sharp reverse weak estimate for Riesz potentials
\[ \Vert I_{s}(f)\Vert _{L^{\frac{n}{n-s},\infty }}\ge \gamma _sv_{n}^{\frac{n-s}{n}}\Vert f\Vert _{L^1}~\text{for}~0 |
| format | Article |
| id | doaj-art-672a609bb98d455187dfd8597f3d4152 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-672a609bb98d455187dfd8597f3d41522025-02-07T11:09:55ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-10-01361G71123113110.5802/crmath.47910.5802/crmath.479Optimal weak estimates for Riesz potentialsHuang, Liang0Tang, Hanli1School of Science, Xi’an University of Posts and Telecommunications, Xi’an 710121, ChinaLaboratory of Mathematics and Complex Systems (Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing 100875, ChinaIn this note we prove a sharp reverse weak estimate for Riesz potentials \[ \Vert I_{s}(f)\Vert _{L^{\frac{n}{n-s},\infty }}\ge \gamma _sv_{n}^{\frac{n-s}{n}}\Vert f\Vert _{L^1}~\text{for}~0https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.479/Riesz potentialssharp constantoptimal estimate |
| spellingShingle | Huang, Liang Tang, Hanli Optimal weak estimates for Riesz potentials Comptes Rendus. Mathématique Riesz potentials sharp constant optimal estimate |
| title | Optimal weak estimates for Riesz potentials |
| title_full | Optimal weak estimates for Riesz potentials |
| title_fullStr | Optimal weak estimates for Riesz potentials |
| title_full_unstemmed | Optimal weak estimates for Riesz potentials |
| title_short | Optimal weak estimates for Riesz potentials |
| title_sort | optimal weak estimates for riesz potentials |
| topic | Riesz potentials sharp constant optimal estimate |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.479/ |
| work_keys_str_mv | AT huangliang optimalweakestimatesforrieszpotentials AT tanghanli optimalweakestimatesforrieszpotentials |