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.
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页码：766 / 777
页数：12
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