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arXiv · 1408.4339

Quantitative weighted mixed weak-type inequalities for classical operators

Sheldy Ombrosi·Carlos Perez·Jorgelina Recchi
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Abstract

We improve on several mixed weak type inequalities both for the Hardy-Littlewood maximal function and for Calder\'on-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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Sheldy Ombrosi, Carlos Perez, Jorgelina Recchi. 2014-08-19. Quantitative weighted mixed weak-type inequalities for classical operators. https://arxiv.org/abs/1408.4339

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