FRACTIONAL INTEGRATION ASSOCIATED TO HIGHER ORDER ELLIPTIC OPERATORS  

作　　者：DENGDONGGAO XUMING YANLIXIN 

机构地区：[1]DepartmentofMathematics,ZhongshanUniversity,Guangzhou510275,China. [2]InstituteofMathematics,ChineseAcademyofSciences,Beijing100080,China.

出　　处：《Chinese Annals of Mathematics,Series B》2005年第2期229-238,共10页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10171111, No.10371734)and the Foundation of Advanced Research Center, Zhongshan University.

摘　　要：The authors prove the Hardy-Littlewood-Sobolev theorems for generalized fractional integrals L?α/2 for 0 < α < n/m, where L is a complex elliptic operator of arbitrary order 2m on Rn.

关 键 词：Fractional integrals Higher order elliptic operator Hardy-Littlewood- Sobolev theorem 

分 类 号：O177.6[理学—数学]