| 具有非倍测度的Littlewood-Paley g_λ~*函数的多线性交换子的端点估计 |
| |
| 引用本文： | 薛庆营,张钜玚,李文娟.具有非倍测度的Littlewood-Paley g_λ~*函数的多线性交换子的端点估计[J].数学学报,2011(3):353-372. |
| |
| 作者姓名： | 薛庆营 张钜玚 李文娟 |
| |
| 作者单位： | 北京师范大学数学科学学院数学与复杂系统教育部重点实验室;罗湖区罗湖外语学校初中部 |
| |
| 基金项目： | 国家自然科学基金重点资助项目(10931001);国家自然科学基金青年基金资助项目(10701010);北京市自然科学基金资助项目(1102023);长江学者和创新团队发展计划资助 |
| |
| 摘 要： | 令μ是R~d上可能为非倍的正的Radon测度.对于所有的x∈R~d,r>0以及某个固定的常数C_0,μ只需满足μ(B(x,r))≤C_0r~n(0
|
| 关 键 词： | g_λ~*函数 Littlewood-Paley算子 多线性交换子 |
Endpoint Estimates for the Multilinear Commutators of Littlewood-Paley g_λ~* Function with Non-Doubling Measure |
| |
| Qing Ying XUE School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems,Ministry of Education,Beijing,P.R.China Ju Yang ZHANG Luohuqu Luohu Waiyu Xuexiao Chuzhongbu,Shenzhen,P.R.China Wen Juan LI.Endpoint Estimates for the Multilinear Commutators of Littlewood-Paley g_λ~* Function with Non-Doubling Measure[J].Acta Mathematica Sinica,2011(3):353-372. |
| |
| Authors: | Qing Ying XUE School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing PRChina Ju Yang ZHANG Luohuqu Luohu Waiyu Xuexiao Chuzhongbu Shenzhen PRChina Wen Juan LI |
| |
| Institution: | School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems,Ministry of Education,Beijing 100875,P.R.China |
| |
| Abstract: | Letμbe a positive Radon measureμon Rd which may be non-doubling.The only condition thatμisμ（B（x,2r））≤C0μ（B（x,r））for all x∈Rd,r>0 and somefixed constant C0.In this paper,the authors define Littlewood-Paley’s gλ,b,m* functionas follows:gλ,b,m*（x）=gλ*（b（x）—b（·）]mf）（x）,x∈Rd,and mainly studied its endpointestimates when they are related to non-doubling measureμ.These estimates can beconsidered as extensions of related classical results. |
| |
| Keywords: | g_λ~* function Littlewood-Paley operator multilinear commutators |
| 本文献已被 CNKI 等数据库收录！ |
