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

PAN Ya-li, LI Chang-wen, WEN Zong-liang

doi:10.13371/j.cnki.chin.q.j.m.2015.01.005

Chinese Quarterly Journal of Mathematics >

2015 , Vol. 30 >Issue 1: 39 - 46

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.01.005

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

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1. School of Mathematical Science, Huaibei Normal University2. College of Pharmacy, Guangxi University of Chinese Medicine

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.

Received date: 2014-01-03

Online published: 2020-11-24

Supported by

Supported by the NSFC(11001001)； Supported by the Natural Science Foundation from the Education Department of Anhui Province(KJ2013A235,KJ2013Z279)；

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Abstract

In this paper, we will study the boundedness of the singular integral operator with variable Calderón-Zygmund kernel on the weighted Morrey spaces L^p,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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PAN Ya-li, LI Chang-wen, WEN Zong-liang . The Boundedness of the Singular Integral Operator with Variable Calderón-Zygmund Kernel on Weighted Morrey Spaces[J]. Chinese Quarterly Journal of Mathematics, 2015 , 30(1) : 39 -46 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.01.005

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