L^p estimates for Riesz transform and their commutators associated with Schr?dinger type operator  

作　　者：CHEN Xiao-li CHEN Jie-cheng 

机构地区：[1]Department of Mathematics, Jiangxi Normal University, Nanchang 330022, China [2]Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2016年第1期112-126,共15页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(11261023,11401269,11461033);the Natural Science Foundation of Jiangxi Province(20142BAB201003)

摘　　要：. Let H2 = （-△）2 ＋ V2 be the Schr6dinger type operator, where V satisfies reverse HSlder inequality. In this paper, we establish the Lp boundedness for V2 H2- 1, H21 V2, VH2- 1/2 and Hfl/2V, and that of their commutators. We also prove that H^IV2, Hfl/2V are bounded from BMOL to BMOL.. Let H2 = （-△）2 ＋ V2 be the Schr6dinger type operator, where V satisfies reverse HSlder inequality. In this paper, we establish the Lp boundedness for V2 H2- 1, H21 V2, VH2- 1/2 and Hfl/2V, and that of their commutators. We also prove that H^IV2, Hfl/2V are bounded from BMOL to BMOL.

关 键 词：Schrodinger type operator Bq class BMOL commutator. 

分 类 号：O175[理学—数学]