Commutators of Higher Order Riesz Transform Associated with Schrodinger Operators

被引：6

作者：

Liu, Yu ^{[1
]}

Wang, Lijuan ^{[1
]}

Dong, Jianfeng ^{[2
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2013年

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

SINGULAR-INTEGRALS; HARDY-SPACES; BOUNDEDNESS; L(P);

D O I：

10.1155/2013/842375

中图分类号：

学科分类号：

摘要：

Let L = Delta + V be a Schrodinger operator on R-n (n >= 3), where V not equal 0 is a nonnegative potential belonging to certain reverse Holder class B-s for s >= n/ 2. In this paper, we prove the boundedness of commutators R-b(H) f = bR(H) f - R-H (bf) generated by the higher order Riesz transform R-H = del(2) (-Delta + V)(1), where b is an element of BMO theta(rho), which is larger than the space BMO(R-n). Moreover, we prove that R-b(h) is bounded from the Hardy space H-L(1)(R-n) into weak L-weak(1) (R-n).

引用

页数：15

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