Boundedness of Multilinear Singular Integrals and Their Commutators on Morrey-Herz Spaces with Non-doubling Measures  

非双倍测度下多线性奇异积分算子及其交换子在Morrey-Herz型空间上的有界性(英文)

作　　者：周娟 朱月萍 

机构地区：[1]School of Science,Nantong University

出　　处：《Chinese Quarterly Journal of Mathematics》2012年第4期545-555,共11页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(10971228);Supported by the Science and Technology Innovation Plan for Graduate Students of Jiangsu Educational Department(CXZZll-0633);Supported by the Science and Technology Innovation Plan for Graduate Students of Nangtong University (YKC111051);Supported by the NSF of Nantong University(llZY002)

摘　　要：Let μ be a non-negative Radon measure on R^d which satisfies some growth conditions. The boundedness of multilinear Calderon-Zygmund singular integral operator T and its commutators with RBMO functions on Morrey-Herz spaces are obtained if T is bounded from L^1（μ）χ…χ L^1（μ） to L1/m,∞（μ）.

关 键 词：non-doubling measure multilinear singular integral operator COMMUTATOR Morrey-Herz space 

分 类 号：O174.2[理学—数学]