Quantitative weighted mixed weak-type inequalities for classical operators
We improve on several mixed weak type inequalities both for the Hardy-Littlewood maximal function and for Calderón-Zygmund operators. These type of inequalities were considered by Muckenhoupt and Wheeden and later on by Sawyer estimating the $L^{1,\infty}(uv)$ norm of $v^{−1}T(fv)$ for special cases...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/295 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/295 |
| Access Level: | acceso abierto |
| Palabra clave: | Calderón-Zygmund operators Maximal operators Weighted estimates |
| Sumario: | We improve on several mixed weak type inequalities both for the Hardy-Littlewood maximal function and for Calderón-Zygmund operators. These type of inequalities were considered by Muckenhoupt and Wheeden and later on by Sawyer estimating the $L^{1,\infty}(uv)$ norm of $v^{−1}T(fv)$ for special cases. The emphasis is made in proving new and more precise quantitative estimates involving the $A_p$ or $A_{\infty}$ constants of the weights involved. |
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