Hardy Type Estimates for Riesz Transforms Associated with Schrdinger Operators on the Heisenberg Group

被引：0
|
作者：
Yu Liu [1 ]
Guobin Tang [1 ]
机构：
[1] School of Mathematics and Physics,University of Science and Technology Beijing
来源：
Analysis in Theory and Applications | 2016年 / 32卷 / 01期
关键词：
Heisenberg group; stratified Lie group; reverse Hlder class; Riesz transform; Schrdinger operator;
D O I：
暂无
中图分类号：
O152 [群论];
学科分类号：
070104 ;
摘要：
Let Hnbe the Heisenberg group and Q=2n +2 be its homogeneous dimension. In this paper, we consider the Schrdinger operator-?Hn+V, where ?Hn is the sub-Laplacian and V is the nonnegative potential belonging to the reverse Ho ¨lder class Bq1 for q1≥ Q/2. We show that the operators T1= V(-?Hn +V)-1 and T2=V1/2(-?Hn +V)-1/2 are both bounded from H1L(Hn) into L1(Hn). Our results are also valid on the stratified Lie group.
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页码：78 / 89
页数：12
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