西北师范大学学报（自然科学版）2018，Vol.54Issue(1)：16-23,42,9.DOI:10.16783/j.cnki.nwnuz.2018.01.004
具有非卷积型核的多线性Littlewood-Paley算子在Campanato空间上的新估计
New estimates for multilinear Littlewood-Paley operators with non-convolution type kernels on Campanato spaces
摘要
Abstract
This paper considers the boundedness of multilinear Littlewood-Paley operators with non-convolution type on Campanato spaces , including the multilinear g-function , multilinear Lusin's area integral S and multilinear g*λ-function .If f = (f1 ,… ,fn) ,fi ∈εαi,pi (Rn) ,i=1 ,… ,m ,then g(f) ,S(f) , g*λ( f ) are either infinite everyw here or finite almost everyw here , and in the latter case , [ g ( f )]2 , [S( f )]2 ,[g*λ( f )]2 are bounded from εα1 ,p1 (Rn ) × … ×εαm ,pm (Rn ) to ε2α,p/2* (Rn ) .关键词
多线性Littlewood-Paleyg-函数/多线性Lusin面积积分S/多线性g*λ-函数/Campanato空间Key words
multilinear Littlewood-Paley g-function/multilinear Lusin's area integral S/multilinear g*λ-function/Campanato space分类
数理科学引用本文复制引用
周疆,周盼..具有非卷积型核的多线性Littlewood-Paley算子在Campanato空间上的新估计[J].西北师范大学学报（自然科学版）,2018,54(1):16-23,42,9.基金项目
国家自然科学基金资助项目(11661075 ) （11661075 ）
