The higher order Riesz transform and BMO type space associated to Schrödinger operators |
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| Authors: | Jianfeng Dong Yu Liu |
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| Institution: | 1. Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China;2. Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. China |
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| Abstract: | Let L = ?Δ + V be a Schrödinger operator on $\mathbb {R}^nLet L = ?Δ + V be a Schrödinger operator on $\mathbb {R}^n$ (n ≥ 3), where $V \not\equiv 0$ is a nonnegative potential belonging to certain reverse Hölder class Bs for $s \ge \frac{n}{2}$. In this article, we prove the boundedness of some integral operators related to L, such as L?1?2, L?1V and L?1( ? Δ) on the space $BMO_L(\mathbb {R}^n)$. |
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| Keywords: | Hardy space BMO space reverse Hö lder class Schrö dinger operator MSC (2010) 42B30 42B20 |
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