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: | , , |
|---|---|
| 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 |
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Quantitative weighted mixed weak-type inequalities for classical operatorsOmbrosi, S.Pérez, C.Recchi, J.Calderón-Zygmund operatorsMaximal operatorsWeighted estimatesWe 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.201620162016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/295reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttp://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=5773&year=2016&volume=65info:eu-repo/grantAgreement/MINECO//SEV-2013-0323info:eu-repo/grantAgreement/MINECO//MTM2014-53850-PReconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/2952026-06-19T12:47:47Z |
| dc.title.none.fl_str_mv |
Quantitative weighted mixed weak-type inequalities for classical operators |
| title |
Quantitative weighted mixed weak-type inequalities for classical operators |
| spellingShingle |
Quantitative weighted mixed weak-type inequalities for classical operators Ombrosi, S. Calderón-Zygmund operators Maximal operators Weighted estimates |
| title_short |
Quantitative weighted mixed weak-type inequalities for classical operators |
| title_full |
Quantitative weighted mixed weak-type inequalities for classical operators |
| title_fullStr |
Quantitative weighted mixed weak-type inequalities for classical operators |
| title_full_unstemmed |
Quantitative weighted mixed weak-type inequalities for classical operators |
| title_sort |
Quantitative weighted mixed weak-type inequalities for classical operators |
| dc.creator.none.fl_str_mv |
Ombrosi, S. Pérez, C. Recchi, J. |
| author |
Ombrosi, S. |
| author_facet |
Ombrosi, S. Pérez, C. Recchi, J. |
| author_role |
author |
| author2 |
Pérez, C. Recchi, J. |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Calderón-Zygmund operators Maximal operators Weighted estimates |
| topic |
Calderón-Zygmund operators Maximal operators Weighted estimates |
| description |
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. |
| publishDate |
2016 |
| dc.date.none.fl_str_mv |
2016 2016 2016 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
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article |
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publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/20.500.11824/295 |
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http://hdl.handle.net/20.500.11824/295 |
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Inglés |
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Inglés |
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http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=5773&year=2016&volume=65 info:eu-repo/grantAgreement/MINECO//SEV-2013-0323 info:eu-repo/grantAgreement/MINECO//MTM2014-53850-P |
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Reconocimiento-NoComercial-CompartirIgual 3.0 España http://creativecommons.org/licenses/by-nc-sa/3.0/es/ info:eu-repo/semantics/openAccess |
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Reconocimiento-NoComercial-CompartirIgual 3.0 España http://creativecommons.org/licenses/by-nc-sa/3.0/es/ |
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openAccess |
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application/pdf |
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reponame:BIRD. BCAM's Institutional Repository Data instname:Basque Center for Applied Mathematics (BCAM) |
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Basque Center for Applied Mathematics (BCAM) |
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BIRD. BCAM's Institutional Repository Data |
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BIRD. BCAM's Institutional Repository Data |
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