粗糙核多线性分数次极大算子和积分算子的双权估计  

Two-weight estimation for the multilinear fractional maximal and integral type operators with rough kernels

作　　者：潘亚丽 陈杰诚 PAN Yali;CHEN Jiecheng(College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,China;School of Information,Huaibei Normal University,Huaibei 235000,China)

机构地区：[1]浙江师范大学数学与计算机科学学院,浙江金华321004 [2]淮北师范大学信息学院,安徽淮北235000

出　　处：《浙江师范大学学报（自然科学版）》2021年第1期15-22,共8页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11471288);安徽省教育厅科研项目(KJ2017A847)。

摘　　要：利用嵌入定理,得到了一类二进格多线性分数次极大算子的双权估计,同时得到了带粗糙核的多线性分数次极大算子和积分算子的双权估计,是原有结论的推广.By using the embedding theorem,a two-weight estimation for a kind of multilinear fractional maximal operators with dyadic grid was obtained,an estimation of multilinear fractional maximal operators and integral operators with rough kernel was also obtained,which was a generalization of the existing results.

关 键 词：多线性分数次积分算子 极大算子 粗糙核 嵌入定理 权 

分 类 号：O174.2[理学—数学]