Lp estimates for Riesz transforms associated to Schrodinger operators with discontinuous coefficients

被引：0

作者：

Tang, Lin ^{[1
]}

Zhang, Guoming ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2020年 / 11卷 / 02期

关键词：

Riesz transform; Schrodinger operators; Reverse Holder class; SPACES;

D O I：

10.1007/s11868-019-00294-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the Lp boundedness of the Riesz transform associated to the Schrodinger operator in divergence form L=-div(A del)+V. More precisely, we get the result that del L-1/2fLp(Rn)<= CfLp(Rn) for all 1<p<infinity, if L is real symmetric with bounded, measurable, BMO theta(rho) coefficients on Rn and the non-negative potential V belongs to certain reverse Holder class.

引用

页码：505 / 515

页数：11

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