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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2021-08-01
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Series: | Comptes Rendus. Mathématique |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.213/ |