Quantitative weighted mixed weak-type inequalities for classical operators
Date
2016-06-30Metadata
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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.