Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (1): 39-46.doi: 10.13371/j.cnki.chin.q.j.m.2015.01.005

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The Boundedness of the Singular Integral Operator with Variable Calderón-Zygmund Kernel on Weighted Morrey Spaces

  

  1. 1. School of Mathematical Science, Huaibei Normal University2. College of Pharmacy, Guangxi University of Chinese Medicine
  • Received:2014-01-03 Online:2015-03-30 Published:2020-11-24
  • About author:PAN Ya-li(1981-), female, native of Huaibei, Anhui, a lecturer of Haibei Normal University, engages in harmonic analysis; LI Chang-wen(1979), male, native of Qianshan, Anhui, a lecturer of Huaibei Normal University, engages in harmonic analysis; WEN Zong-liang(corresponding author)(1981-), male, native of Liaocheng, Shandong, a lecturer of Guangxi University of Chinese Medicine, engages in optimization and functional analysis.
  • Supported by:
    Supported by the NSFC(11001001); Supported by the Natural Science Foundation from the Education Department of Anhui Province(KJ2013A235,KJ2013Z279);

Abstract: In this paper, we will study the boundedness of the singular integral operator with variable  Calderón-Zygmund kernel on the weighted Morrey spaces Lp,κ(ω) for q′≤ p < ∞and 0 < κ < 1. Furthermore, the boundedness for the commutator with BMO functions is also obtained. 

Key words: variable Calderón-Zygmund kernels, weighted Morrey spaces, BMO

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