A Weighted Weak Type Endpoint Estimate for the Multilinear Calderón-Zygmund Operators and Its Applications  

作　　者：Guo Qiang PENG 

机构地区：[1]Department of Applied Mathematics, Information Engineering University, Henan 450002, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2010年第2期329-337,共9页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10671210)

摘　　要：A weighted weak type endpoint estimate is established for the m-linear operator with Calderón-Zygmund kernel, which was introduced by Coifman and Meyer. As applications, the mapping properties on weighted L^p1（Rn）×···×L^pm（Rn） with weight MBw for certain maximal operator MB and general weight w, and a two-weight weighted norm estimate for this operator, are obtained.A weighted weak type endpoint estimate is established for the m-linear operator with Calderón-Zygmund kernel, which was introduced by Coifman and Meyer. As applications, the mapping properties on weighted L^p1（Rn）×···×L^pm（Rn） with weight MBw for certain maximal operator MB and general weight w, and a two-weight weighted norm estimate for this operator, are obtained.

关 键 词：multilinear Calderon-Zygmund operator maximal operator weighted norm in-equality interpolation. 

分 类 号：O175.5[理学—数学] O178[理学—基础数学]