On the sharpness of some quantitative Muckenhoupt–Wheeden inequalities

In the recent work [Cruz-Uribe et al. (2021)] it was obtained that \[ |\lbrace x\in {\mathbb{R}^d}:w(x)|G(fw^{-1})(x)|>\alpha \rbrace |\lesssim \frac{[w]_{A_1}^2}{\alpha }\int _{{\mathbb{R}^d}}|f|\,\mathrm{d} x \] both in the matrix and scalar settings, where $G$ is either the Hardy–Littlewood ma...

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Bibliographic Details
Main Authors: Lerner, Andrei K., Li, Kangwei, Ombrosi, Sheldy, Rivera-Ríos, Israel P.
Format: Article
Language:English
Published: Académie des sciences 2024-11-01
Series:Comptes Rendus. Mathématique
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Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.638/
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