Commutators of Riesz Transforms Related to Schrödinger Operators
In this work we obtain boundedness on L p , for 1<p<∞, of commutators T b f=bTf−T(bf) where T is any of the Riesz transforms or their conjugates associated to the Schrödinger operator −Δ+V with V satisfying an appropriate reverse Hölder inequality. The class where b belongs is larger than the...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/67948 |
| Acceso en línea: | http://hdl.handle.net/11336/67948 |
| Access Level: | acceso abierto |
| Palabra clave: | Bmo Commutators Riesz Transforms SchrÖDinger Operator https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this work we obtain boundedness on L p , for 1<p<∞, of commutators T b f=bTf−T(bf) where T is any of the Riesz transforms or their conjugates associated to the Schrödinger operator −Δ+V with V satisfying an appropriate reverse Hölder inequality. The class where b belongs is larger than the usual BMO. We also obtain a substitute result for p=∞, under a slightly stronger condition on b. |
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