应用数学2009，Vol.22Issue(4)：895-901,7.
分数次积分的多线性换位子
Multilinear Commutators of Fractional Integrals
摘要
Abstract
Let L be the infinitesimal generator of an analytic semigroup on L~2(R~n) with Gaussian kernel bounds, and let L~(-α/2) be the fractional integrals of L for 0 < a < n. Let m be a natural number, and b_i be BMO functions on R~n for i = 1,2,… ,m, we obtain that multilinear commutators generated by fractional integrals and b_i for i = 1,2,…, m are bounded from L~p (R~n) to L~q(R~n), for 1 < p <n/α,1/q = 1/p - α/n.关键词
高斯界/分数次积分/换拉子/有界平均振荡/尖锐极大函数Key words
Gauss bound/ Fractional integral/ Commutators/ BMO/ Sharp maximal functions分类
数理科学引用本文复制引用
李志林..分数次积分的多线性换位子[J].应用数学,2009,22(4):895-901,7.基金项目
Supported by Hainan provincial Natural Science Foundation of China(10601) （10601）
