The higher order Riesz transform and BMO type space associated to Schrödinger operators
✍ Scribed by Jianfeng Dong; Yu Liu
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 156 KB
- Volume
- 285
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
Let L = −Δ + V be a Schrödinger operator on \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {R}^n$\end{document} (n ≥ 3), where \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$V \not\equiv 0$\end{document} is a nonnegative potential belonging to certain reverse Hölder class B~s~ for \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$s \ge \frac{n}{2}$\end{document}. In this article, we prove the boundedness of some integral operators related to L, such as L^−1^∇^2^, L^−1^V and L^−1^( − Δ) on the space \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$BMO_L(\mathbb {R}^n)$\end{document}.