On Rough Marcinkiewicz Integrals along Surfaces  

作　　者：Huo Xiong WU Jian Kai XU 

机构地区：[1]School of Mathematical Sciences, Xiamen University, Xiamen 361005, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第4期717-730,共14页数学学报（英文版）

基　　金：supported by the NSF of China (Grant Nos. 10571122 and 10771054);the NSF of Fujian Province of China (Grant No. Z0511004)

摘　　要：In this paper, the authors establish the LP-mapping properties of certain classes of Marcinkiewicz integral operators along surfaces with rough kernels. The results in this paper essentially extend as well as improve previously known results.In this paper, the authors establish the LP-mapping properties of certain classes of Marcinkiewicz integral operators along surfaces with rough kernels. The results in this paper essentially extend as well as improve previously known results.

关 键 词：Marcinkiewicz integrals SURFACES maximal operator Hardy space rough kernel 

分 类 号：O177[理学—数学] P618.130.2[理学—基础数学]