流形上与薛定谔算子相关的里斯变换的$L^{p}$有界性
$L^{p}$ Boundedness of Riesz transform related to Schrödinger operators on a manifold
摘要：
本文在黎曼流形上建立了Schrödinger算子$-Δ+V$的各种$L^{p}$估计，其中$Δ$是Laplace-Beltrami算子，$V$属于逆Hölder类.在本文的最后，我们将所得结果应用到多项式增长的李群上。
英文摘要：
We establish various $L^{p}$ estimates for the Schrödinger operator $-Δ+V$ on Riemannian manifolds satisfying the doubling property and a Poincaré inequality, where $Δ$ is the Laplace-Beltrami operator and $V$ belongs to a reverse Hölder class. At the end of this paper we apply our result on Lie groups with polynomial growth.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
