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Research articles

ScienceAsia 44 (2018): 413-421 |doi: 10.2306/scienceasia1513-1874.2018.44.413

Endpoint estimates for the commutators of strongly singular integral operators

Huihui Zhanga, Xiao Yua,*, Xiaomei Wub

ABSTRACT:     In this paper, we give sufficient and necessary conditions for the endpoint estimates of the commutators generated by the strongly singular integrals and the BMO function on the extreme case.

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a College of Mathematics and Computer Science, Shangrao Normal University, 401 Zhimin St., Xinzhou Dist., Shangrao 334001, Jiangxi Prov., P.R. China
b College of Xingzhi, Zhejiang Normal University, 688 Yingbin St., Wucheng Dist., Jinhua 321004, ZheJiang Prov., P.R. China

* Corresponding author, E-mail: yx2000s@163.com

Received 26 Aug 2017, Accepted 24 Aug 2018