Multilinear Fractional Hausdorff Operators

作     者：Da Shan FAN Fa You ZHAO 

作者机构：Department of Mathematical SciencesUniversity of Wisconsin-Milwaukee Department of MathematicsShanghai University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2014年第30卷第8期

页      面：1407-1421页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.11201287 and 11201103) a grant of the First-class Discipline of Universities in Shanghai 

主　　题：Multilinear fractional Hausdorff operators bilinear fractional Hardy operator weak type,strong type 

摘      要：In this paper,by introducing the space with weak mixed norms,weak type estimates of two kinds of multilinear fractional Hausdorff operators RΦ,β and SΦ,β on Lebesgue spaces are *** virtue of Marcinkiewicz interpolation,strong type estimates of these two operators on Lebesgue spaces are also *** methods shed some new light on dealing with the case of non-radial function Φ.