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 types of inequalities were considered by Muckenhoupt and Wheeden and later on by Sawyer estimating the L1,∞(uv) norm of v −1T (f v) for special cases. The empha...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2016 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/42386 |
| Acesso em linha: | http://hdl.handle.net/11441/42386 https://doi.org/10.1512/iumj.2016.65.5773 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Maximal operators Calderón-Zygmund operators weighted estimates |
| Resumo: | We improve on several mixed weak-type inequalities both for the Hardy-Littlewood maximal function and for Calderón-Zygmund operators. These types of inequalities were considered by Muckenhoupt and Wheeden and later on by Sawyer estimating the L1,∞(uv) norm of v −1T (f v) for special cases. The emphasis is made in proving new and more precise quantitative estimates involving the Ap or A∞ constants of the weights involved. |
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