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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2023-10-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.479/ |
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| Summary: | 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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| ISSN: | 1778-3569 |