一类粗糙核多线性奇异积分算子在齐次Morrey-Herz空间上的有界性  

The boundedness of a class of multilinear singular integral operators with rough kernels on homogeneous Morrey-Herz spaces

作　　者：陶双平[1] 李巧妮[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2012年第5期1-7,共7页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11161042;11071250)

摘　　要：研究一类粗糙核多线性奇异积分算子在齐次Morrey-Herz空间上的有界性.在关于核的一定假设条件下,通过函数分解技巧,得到奇异积分算子在齐次Morrey-Herz空间上是有界的.The aim of this paper is to study boundedness of a class of multilinear singular integral operators with rough kernels on the homogeneous Morrey-Herz spaces, Under some assumptions about the kernel, it is proved that the singular integral operator is bounded on the homogeneous Morrey-Herz spaces by using the divide skill of functions.

关 键 词：多线性算子 粗糙核 齐次MORREY-HERZ空间 有界性 

分 类 号：O174.2[理学—数学]