非双倍测度的Marcinkiewicz 积分交换子的加权估计

Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (2): 303-316.

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Weighted Estimates for Commutators of Marcinkiewicz Integrals with Non-Doubling Measures

LU Sheng-Dong^1,2, JIANG Yin-Sheng^1*, WANG Song-Bai¹

1.College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046;
2.Cadre Training Center of Weather Bureau, Shanxi Province, Taiyuan 030012

Received:2012-10-07 Revised:2013-11-02 Online:2014-04-25 Published:2014-04-25
Contact: JIANG Yin-Sheng,ysjiang@xju.edu.cn E-mail:lushengdong2010@126.com; ysjiang@xju.edu.cn; haiyansongbai@sina.com
Supported by:
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.

Let μ be a nonnegative Radon measure on R^d which only satisfies μ(B(x, r))≤C₀rⁿ, for all x ∈Rd , r>0, n∈(0, d] and some fixed constants C₀ >0. In this paper, a weak type estimate with A_p^p(μ) weight is established for commutators generated by Marcinkiewicz integrals operators with RBMO functions.

Key words: Weight, Marcinkiewicz integral, RBMO, Commutators, Non-doubling measure

CLC Number:

42B20

Cite this article

LU Sheng-Dong, JIANG Yin-Sheng, WANG Song-Bai. Weighted Estimates for Commutators of Marcinkiewicz Integrals with Non-Doubling Measures[J].Acta mathematica scientia,Series A, 2014, 34(2): 303-316.

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