Boundedness of second-order Riesz transforms on weighted Hardy and $BMO$ spaces associated with Schrödinger operators

Let $d \in \lbrace 3, 4, 5, \ldots \rbrace $ and a weight $w \in A^\rho _\infty $. We consider the second-order Riesz transform $T = \nabla ^2 \, L^{-1}$ associated with the Schrödinger operator $L = -\Delta + V$, where $V \in RH_\sigma $ with $\sigma > \frac{d}{2}$. We present three main results...

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Bibliographic Details
Main Authors: Nguyen Ngoc, Trong, Le Xuan, Truong, Tan Duc, Do
Format: Article
Language:English
Published: Académie des sciences 2021-08-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.213/