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Quantitative weighted mixed weak-type inequalities for classical operators

 

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Opened Access Quantitative weighted mixed weak-type inequalities for classical operators
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Author: Ombrosi, Sheldy J.
Pérez Moreno, Carlos
Recchi, Diana Jorgelina
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2016
Published in: Indiana University Mathematics Journal, 65 (2), 615-640.
Document type: Article
Abstract: 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.
Cite: Ombrosi, S.J., Pérez Moreno, C. y Recchi, D.J. (2016). Quantitative weighted mixed weak-type inequalities for classical operators. Indiana University Mathematics Journal, 65 (2), 615-640.
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Format: PDF

URI: http://hdl.handle.net/11441/42386

DOI: http://dx.doi.org/10.1512/iumj.2016.65.5773

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