Estimates for the Riesz transforms associated with Schrodinger type operators

被引：0

作者：

Wang, Yanhui ^{[1
]}

机构：

[1] Jiaozuo Univ, Dept Math, Jiaozuo 454003, Henan, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年 / 54卷 / 03期

关键词：

Schrodinger operator; Reverse Holder class; Riesz transform; COMMUTATORS;

D O I：

10.1007/s13226-022-00295-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the Schrodinger type operator L-2 = (-Delta)(2) + V-2 on R-n(n >= 5), where the nonnegative potential V belongs to the reverse Holder class RHs, n/2 <= s < n. We establish the L-p(R-n) and weak type (1, 1) estimates for the higher order Riesz transform. del L-3(2)-3/4 associated with Schrodinger type operators.

引用

页码：766 / 777

页数：12

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