Sub-Gaussian heat kernel estimates and quasi Riesz transforms for 1≤p≤2
On a complete non-compact Riemannian manifold M, we prove that a so-called quasi Riesz transform is always Lp bounded for 1 < p ≤ 2. If M satifies the doubling volume property and the sub-Gaussian heat kernel estimate, we prove that the quasi Riesz transform is also of weak type (1; 1).
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:133139 |
| Acceso en línea: | https://ddd.uab.cat/record/133139 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_59215_03 |
| Access Level: | acceso abierto |
| Palabra clave: | Riemannian manifold Heat semigroup Riesz transform Sub-gaussian heat kernel estimates |
| Sumario: | On a complete non-compact Riemannian manifold M, we prove that a so-called quasi Riesz transform is always Lp bounded for 1 < p ≤ 2. If M satifies the doubling volume property and the sub-Gaussian heat kernel estimate, we prove that the quasi Riesz transform is also of weak type (1; 1). |
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