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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(英文) 被引量:1

The Boundedness of the Singular Integral Operator with Variable Calder′on-Zygmund Kernel on Weighted Morrey Spaces
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摘要 In this paper, we will study the boundedness of the singular integral operator with variable Calder′on-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. In this paper, we will study the boundedness of the singular integral operator with variable Calder′on-Zygmund kernel on the weighted Morrey spaces Lp,κ(ω) for qˊ ≤ p 〈 ∞and 0 〈 κ 〈 1. Furthermore, the boundedness for the commutator with BMO functions is also obtained.
出处 《Chinese Quarterly Journal of Mathematics》 2015年第1期39-46,共8页 数学季刊(英文版)
基金 Supported by the NSFC(11001001) Supported by the Natural Science Foundation from the Education Department of Anhui Province(KJ2013A235,KJ2013Z279)
关键词 variable Calder′on-Zygmund kernels weighted Morrey spaces BMO variable Calder′on-Zygmund kernels weighted Morrey spaces BMO
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