| 非双倍测度的Marcinkiewicz积分交换子的加权估计 |
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| 引用本文： | 卢盛栋,江寅生,王松柏.非双倍测度的Marcinkiewicz积分交换子的加权估计[J].数学物理学报(A辑),2014,34(2):303-316. |
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| 作者姓名： | 卢盛栋 江寅生 王松柏 |
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| 作者单位： | 1.新疆大学数学与系统科学学院 乌鲁木齐 830046|
2.山西省气象局干部培训中心 太原 030012 |
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| 基金项目： | 国家自然科学基金(11161044)和新疆维吾尔自治区自然科学基金(2011211A005)资助. |
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| 摘 要： | 设μ是R~d上的非负Radon测度,且满足增长性条件:存在一正常数C_0,使得对任意的x∈R~d和r0,有μ(B(x,r))≤C_0r~n,其中0n≤d.该文研究了相关于非双倍测度μ的Marcinkiewicz积分与RBMO函数生成的交换子,得到了这类交换子的加A_p~p(μ)权的弱型估计.
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| 关 键 词： | 权 Marcinkiewicz积分 RBMO 交换子 非双倍测度 |
| 收稿时间： | 2012-10-07 |
| 修稿时间： | 2013-11-02 |
Weighted Estimates forCommutators of Marcinkiewicz Integrals with Non-Doubling Measures |
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| LU Sheng-Dong,JIANG Yin-Sheng,WANG Song-Bai.Weighted Estimates forCommutators of Marcinkiewicz Integrals with Non-Doubling Measures[J].Acta Mathematica Scientia,2014,34(2):303-316. |
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| Authors: | LU Sheng-Dong JIANG Yin-Sheng WANG Song-Bai |
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| Institution: | 1.College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046;
2.Cadre Training Center of Weather Bureau, Shanxi Province, Taiyuan 030012 |
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| Abstract: | Let μ be a nonnegative Radon measure on Rd which only satisfies μ(B(x, r))≤C0 rn, for all x ∈Rd , r>0, n∈(0, d] and some fixed constants C0 >0. In this paper, a weak type estimate with App(μ) weight is established for commutators generated by Marcinkiewicz integrals operators with RBMO functions. |
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| Keywords: | Weightzz Marcinkiewicz integralzz RBMOzz Commutatorszz Non-doubling measurezz |
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