与广义薛定谔算子相关的利兹变换交换子的L^p有界性  

The boundedness of commutators of Riesz transformsrelated 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]陆军特种作战学院基础部,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1期17-24,共8页Journal of Qufu Normal University(Natural Science)

摘　　要：当1<p<∞时,交换子T bf=T(bf)-bTf在L^p空间上是有界的,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是欧式空间ℝ^n(n≥3)上的非负拉东测度,b属于比一般BMO空间更大的空间.当给定b一个更强的条件时,可以得到p=∞时交换子的结果.In this paper,the boundedness on L p of commutators T bf=T(bf)-bTf 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 inℝ^n(n≥3).The class where b belongs to is larger than the usual BMO type.We also obtain a substitute result for p=∞,under a slightly stronger condition on b.

关 键 词：广义薛定谔算子 交换子 利兹变换 BMO 

分 类 号：O177[理学—基础数学]