Stratified群上与Schr?dinger算子相联系的Riesz变换的L^p估计  

L^p estimates for Riesz transforms of Schr?dinger operators on Stratified groups

作　　者：贺凯莉 田晓晓 HE Kaili;TIAN Xiaoxiao(Department of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China;School of Mathematics,Sun Yat-sen University,Guanzhou 510275,China)

机构地区：[1]广州大学数学与信息科学学院,广东广州510006 [2]中山大学数学学院,广东广州510275

出　　处：《中山大学学报（自然科学版）》2018年第5期145-149,共5页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金面上项目(11671414)

摘　　要：证明了Stratified群上与次椭圆Schr?dinger算子相联系的Riesz变换的L^p(1 <p≤2)有界性,并用以研究与该Schr?dinger算子相联系的Hardy空间。由于涉及的位势函数较为广义,相关算子的核并不是Calderón-Zygmund型的。The boundedness of Riesz transform associated to sub-elliptic Schr dinger operators on Stratified groups is proven.By this boundedness,the Hardy spaces associated to the Schr dinger operators are investigated.Because of the larger class of potentials considered here,the kernels of the operators are not Calder n-Zygmund type.

关 键 词：RIESZ变换 Schrdinger算子 Stratified群 HARDY空间 

分 类 号：O174.3[理学—数学]