与广义薛定谔算子相关的利兹变换及其交换子的L^(p)紧性  

L^(p)compactness of Riesz transforms and their commutators related to generalized Schrodinger operators

作　　者：丁姗姗 DING Shanshan(Army Academy of Special Operations,510500,Guangzhou,Guangdong,PRC)

机构地区：[1]中国人民解放军陆军特种作战学院,广东省广州市510500

出　　处：《曲阜师范大学学报（自然科学版）》2021年第3期45-50,共6页Journal of Qufu Normal University(Natural Science)

摘　　要：当1<p<∞时,交换子[b,T]f(x)=b(x)Tf(x)-T(bf)(x)在L^(p)(R^(n))空间上是紧的,其中T是与广义薛定谔算子-Δ+μ相关的利兹变换或其共轭变换,μ是非负拉东测度,b属于VMO空间.而与广义薛定谔算子相关的利兹变换在L^(p)(H_(n))空间上也是紧的.In this paper,the compactness on L^(p)(R^(n))of commutators[b,T]f(x)=b(x)Tf(x)-T(bf)(x)for 1<p<∞is obtained,where T is any of the Riesz transforms or their conjugates associated to the generalized Schrodinger operator-Δ+μwithμbeing a nonnegative Radon measure and b∈VMO.And the Riesz transforms associated to the generalized Schrodinger operator is also compact on L^(p)H_(n).

关 键 词：广义薛定谔算子 交换子 紧性 VMO 

分 类 号：O177[理学—数学]