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-1/2
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
文摘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-1/2