L^p estimates for the Schrdinger type operators  

作　　者：LIU Yu HUANG Ji-zheng 

机构地区：[1]School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China. [2]College of Sciences, North China University of Technology, Beijing 100144, China.

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2011年第4期412-424,共13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(10901018,11001002);the Beijing Foundation Program(201010009009,2010D005002000002);the Fundamental Research Funds for the Central Universities

摘　　要：Let Lk= （-△）k ＋ Vk be a SchrSdinger type operator, where k ≥1 is a positive integer and V is a nonnegative polynomial. We obtain the Lp estimates for the operators △2kLk-1 and △kLk-1/2Let Lk= （-△）k ＋ Vk be a SchrSdinger type operator, where k ≥1 is a positive integer and V is a nonnegative polynomial. We obtain the Lp estimates for the operators △2kLk-1 and △kLk-1/2

关 键 词：Lp estimate reverse Hblder class Schriodinger operator. 

分 类 号：O413.1[理学—理论物理] P207[理学—物理]