与薛定谔算子相关的Riesz变换的Hardy型估计  

Hardy Type Estimates for Riesz Transforms Related to Schrödinger Operators

作　　者：王艳烩 何月香[1] WANG Yan-hui;HE Yue-xiang(Department of Basic Course,Jiaozuo University,Jiaozuo,454003,China)

机构地区：[1]焦作大学基础教学部,河南焦作454003

出　　处：《数学的实践与认识》2021年第16期230-234,共5页Mathematics in Practice and Theory

摘　　要：假设薛定谔算子L=-△+V中的非负位势函数V属于反向Hölder函数类RHs(n/2≤s<n),我们给出了Riesz变换Tα,β-Vα▽L-β的Hardy型估计.这个结论实质性地推广了已知结果.We consider the Schrödinger operator L=-Δ+V on Rn,where n≥3,and nonnegative potential V belongs to the reverse Holder class RHS with n/2<s<n.Let HL1(Rn)denote the Hardy space related to L.In this paper,we obtain the Hardy type estimates for Riesz transforms Tα,β=Vα▽L-β.These results generalize substantially some known results.

关 键 词：薛定谔算子 反向Hölder类 RIESZ变换 HARDY空间 

分 类 号：O177[理学—数学]