带变量Calderón-Zygmund核的奇异积分算子在加权Morrey空间上的有界性

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

数学季刊 ›› 2015, Vol. 30 ›› Issue (1): 39-46.doi: 10.13371/j.cnki.chin.q.j.m.2015.01.005

带变量Calderón-Zygmund核的奇异积分算子在加权Morrey空间上的有界性

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

收稿日期:2014-01-03 出版日期:2015-03-30 发布日期:2020-11-24
作者简介: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.
基金资助:
Supported by the NSFC(11001001)； Supported by the Natural Science Foundation from the Education Department of Anhui Province(KJ2013A235,KJ2013Z279)；

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

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)；

摘要/Abstract

摘要： 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.

关键词: variable Calderón-Zygmund kernels, weighted Morrey spaces, BMO

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

中图分类号:

O177

潘亚丽, 李昌文, 温宗良. 带变量Calderón-Zygmund核的奇异积分算子在加权Morrey空间上的有界性[J]. 数学季刊, 2015, 30(1): 39-46.

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.

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带变量Calderón-Zygmund核的奇异积分算子在加权Morrey空间上的有界性

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

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