Compact Commutators of Riesz Transforms Associated to Schrodinger Operator

被引：0
|
作者：
Li, Pengtao [1 ]
Peng, Lizhong [1 ]
机构：
[1] Peking Univ, LMAM Sch Math Sci, Beijing 100871, Peoples R China
来源：
PURE AND APPLIED MATHEMATICS QUARTERLY | 2012年 / 8卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Commutator; Compactness; VMO; Schrodinger operator; Riesz transform;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the compactness of some commutators of Riesz transforms associated to Schrodinger operator L = -Delta + V on R-n n (3) 3, where V is non-zero, nonnegative and belongs to the reverse Holder class B-q for q > n/2. We prove that if T-1 = (-Delta + V)V-1, T-2 = (-Delta + V)V--1/2(1/2) and T-3 = (-Delta + V)(-1/2 del), then the commutators [b, T-j], (j = 1,2,3) are compact on L-p(R-n) when p ranges in an interval and b is an element of V MO(R-n).
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页码：713 / 739
页数：27
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