A linear dimensionless bound for the weighted Riesz vector
Résumé
We show that the norm of the vector of Riesz transforms as operator in the weighted Lebesgue space $L^2_ω$ is bounded by a constant multiple of the first power of the Poisson-$A_2$ characteristic of $ω$. The bound is free of dimension. We also show that for $n > 1$, the Poisson-$A_2$ class is properly included in the classical $A_2$ class.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)
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