期刊文献+
共找到13篇文章
< 1 >
每页显示 20 50 100
Multilinear commutators of BMO functions and multilinear singular integrals with non-smooth kernels 被引量:8
1
作者 LIAN Jia-li LI Ji WU Huo-xiong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2011年第1期109-120,共12页
This paper is concerned with certain multilinear commutators of BMO functions and multilinear singular integral operators with non-smooth kernels. By the sharp maximal functions estimates, the weighted norm inequaliti... This paper is concerned with certain multilinear commutators of BMO functions and multilinear singular integral operators with non-smooth kernels. By the sharp maximal functions estimates, the weighted norm inequalities for this kind of commutators are established. 展开更多
关键词 Multilineav operator COMMUTATOR non-smooth kernel sharp maximal function weighted norminequality.
下载PDF
Weighted estimates for the multilinear singular integral operators with non-smooth kernels 被引量:7
2
作者 HU GuoEn1 & LU ShanZhen2 1Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450002, China 2Department of Mathematics, Beijing Normal University, Beijing 100875, China 《Science China Mathematics》 SCIE 2011年第3期587-602,共16页
In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smoot... In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smooth kernels. 展开更多
关键词 approximation to the identity weighted norm inequality singular integral operator non-smooth kernel Calderón-Zygmund decomposition
原文传递
Weighted Norm Inequalities with General Weights for the Commutator of Calderón 被引量:5
3
作者 Guo En HU Yue Ping ZHU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第3期505-514,共10页
In this paper, by a sharp function estimate and an idea of Lerner, the authors establish some weighted estimates for the m-multilinear integral operator which is bounded from L1 (Rn) ×..…… L1 (Rn) to L1/m,... In this paper, by a sharp function estimate and an idea of Lerner, the authors establish some weighted estimates for the m-multilinear integral operator which is bounded from L1 (Rn) ×..…… L1 (Rn) to L1/m,∞(Rn), and the associated kernel K(x; yl,.. , Ym) enjoys a regularity on the variable x. As an application, weighted estimates with general weights are given for the commutator of CalderSn. 展开更多
关键词 Approximation to the identity weighted norm inequality singular integral operator max-imal operator non-smooth kernel
原文传递
Commutators of Weighted Lipschitz Functions and Multilinear Singular Integrals with Non-Smooth Kernels 被引量:3
4
作者 LIAN Jia-li MA Bo-lin WU Huo-xiong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2011年第3期353-367,共15页
This paper is devoted to studying the commutators of the multilinear singular integral operators with the non-smooth kernels and the weighted Lipschitz functions. Some mapping properties for two types of commutators o... This paper is devoted to studying the commutators of the multilinear singular integral operators with the non-smooth kernels and the weighted Lipschitz functions. Some mapping properties for two types of commutators on the weighted Lebesgue spaces, which extend and generalize some previous results, are obtained. 展开更多
关键词 COMMUTATOR multilinear singular integral non-smooth kernel weighted Lipschitz function weights.
下载PDF
带非光滑核的多线性Marcinkiewicz积分的加权界 被引量:2
5
作者 王松柏 《数学学报(中文版)》 CSCD 北大核心 2018年第4期663-674,共12页
我们引入了带非光滑核的多线性Marcinkiewicz积分算子.设p1,…,pm∈(1,∞)和p∈(0,+∞)满足1/p1+…+1/pm=1/p,记P=(p1,…,pm),又设向量权ω=(ω1,…,ωm)∈Ap和vω=Πk=1mωkp/pk,得到了Marcinkiewicz积分算子从Lp1ω1×... 我们引入了带非光滑核的多线性Marcinkiewicz积分算子.设p1,…,pm∈(1,∞)和p∈(0,+∞)满足1/p1+…+1/pm=1/p,记P=(p1,…,pm),又设向量权ω=(ω1,…,ωm)∈Ap和vω=Πk=1mωkp/pk,得到了Marcinkiewicz积分算子从Lp1ω1×…×Lpmωm到Lpvω的常数界. 展开更多
关键词 多线性Marcinkiewicz积分 非光滑核 多权
原文传递
Weighted estimates for commutators of singular integral operators with non-smooth kernels
6
作者 ZHANG Lin JIANG Yin-sheng 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第3期318-324,共7页
In this paper, we establish the boundedness of commutators of singular integral operators with non-smooth kernels on weighted Lipschitz spaces Lipβ,ω. The condition on the kernel in this paper is weaker than the usu... In this paper, we establish the boundedness of commutators of singular integral operators with non-smooth kernels on weighted Lipschitz spaces Lipβ,ω. The condition on the kernel in this paper is weaker than the usual pointwise HSrmander condition. 展开更多
关键词 Lipβ ω space COMMUTATOR singular integral operator non-smooth kernel.
下载PDF
Toeplitz Operator Related to Singular Integral with Non-Smooth Kernel on Weighted Morrey Space
7
作者 Yuexiang He 《Analysis in Theory and Applications》 CSCD 2017年第3期240-252,共13页
Let T1 be a singular integral with non-smooth kernel or ±I, let T2 and T4 be the linear operators and let T3 = ± I. Denote the Toeplitz type operator by Tb = T1M^b Ia T2 + T3IaMbT4,where M^bf = bf, and Ib i... Let T1 be a singular integral with non-smooth kernel or ±I, let T2 and T4 be the linear operators and let T3 = ± I. Denote the Toeplitz type operator by Tb = T1M^b Ia T2 + T3IaMbT4,where M^bf = bf, and Ib is the fractional integral operator. In this paper, we investigate the boundedness of the operator Tb on the weighted Morrey space when b belongs to the weighted BMO space. 展开更多
关键词 Toeplitz operator non-smooth kernel weighted BMO fractional integral weighted Morrey space.
下载PDF
具有非光滑核的多线性奇异积分算子交换子的Lipschitz估计(英文) 被引量:1
8
作者 连佳丽 伍火熊 《数学进展》 CSCD 北大核心 2013年第6期748-762,共15页
考虑由具有非光滑核的多线性奇异积分算子与Lipschitz函数生成的交换子.建立了这些算子在Lipschitz空间和Triebel-Lizorkin空间中的有界性.
关键词 交换子 多线性奇异积分算子 非光滑核 LIPSCHITZ函数 Triebel—Lizorkin空间
原文传递
带非光滑核的奇异积分算子的交换子的加权BMO估计 被引量:1
9
作者 陈晓莉 陈杰诚 《数学学报(中文版)》 SCIE CSCD 北大核心 2012年第5期861-868,共8页
研究了由BMO(ω)函数b和具有非光滑核的奇异积分算子T生成的交换子[b,T]的sharp极大函数的点态估计,证明了这类交换子是由L^p(μ)到L^q(v)上的有界算子,其中ω=(μv^(-1))^(1/p)且μ,v∈A_p,1<p<∞.
关键词 加权BMO空间 非光滑核 交换子
原文传递
Weighted estimates for bilinear square functions with non-smooth kernels and commutators 被引量:1
10
作者 Rui BU Zunwei FU Yandan ZHANG 《Frontiers of Mathematics in China》 SCIE CSCD 2020年第1期1-20,共20页
Under weaker conditions on the kernel functions,we discuss the boundedness of bilinear square functions associated with non-smooth kernels on the product of weighted Lebesgue spaces.Moreover,we investigate the weighte... Under weaker conditions on the kernel functions,we discuss the boundedness of bilinear square functions associated with non-smooth kernels on the product of weighted Lebesgue spaces.Moreover,we investigate the weighted boundedness of the commutators of bilinear square functions(with symbols which are BMO functions and their weighted version,respectively)on the product of Lebesgue spaces.As an application,we deduce the corresponding boundedness of bilinear Marcinkiewicz integrals and bilinear Littlewood-Paley^-functions. 展开更多
关键词 BILINEAR square FUNCTION non-smooth kernel weight COMMUTATOR BMO FUNCTION
原文传递
带非光滑核的奇异积分算子交换子的加权有界性估计
11
作者 吴翠兰 王云杰 束立生 《安徽师范大学学报(自然科学版)》 CAS 2018年第2期110-116,共7页
本文研究了具有非光滑核的奇异积分算子Tf(x)=∫_(R^n)K(x,y)f(y)dy与加权Lipschtiz函数b生成的交换子[b,T]的Sharp极大函数的点态估计,并应用该估计证明了这类交换子[b,T]是由L^p(v)到L^q(v^(1-q))的有界算子,其中b∈Lip_(β,v),v ∈ A... 本文研究了具有非光滑核的奇异积分算子Tf(x)=∫_(R^n)K(x,y)f(y)dy与加权Lipschtiz函数b生成的交换子[b,T]的Sharp极大函数的点态估计,并应用该估计证明了这类交换子[b,T]是由L^p(v)到L^q(v^(1-q))的有界算子,其中b∈Lip_(β,v),v ∈ A_1,1/q=1/p-β/n,0<β<1,1<p<q<∞,改进了一些已知结果。 展开更多
关键词 加权Lipschtiz空间 非光滑核 交换子
下载PDF
带非光滑核的多线性奇异积分极大算子的有界性
12
作者 陈冬香 毛素珍 《江西师范大学学报(自然科学版)》 CAS 北大核心 2012年第4期343-346,共4页
利用极大算子的sharp极大函数的点态估计方法,建立了具有非光滑核的多线性奇异积分极大算子的Cotlar型不等式,应用Cotlar不等式证明了极大算子是Lr(Rn)到Lp0(Rn)上的有界算子,推广了一些已知结果.
关键词 多线性奇异积分算子 非光滑核 恒等逼近 Cotlar不等式 极大算子
下载PDF
具有非光滑核的奇异积分交换子的加权估计 被引量:1
13
作者 张霖 江寅生 曹勇辉 《云南大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第6期547-551,共5页
讨论了当α,β∈Ap,b∈BMO(αβ-1)1/p,则交换子[b,T](f)从Lp(α)到Lp(β)(1<p<∞)有界.该文中核的条件要弱于一般点态的Hrmander条件.
关键词 BMOω 交换子 带非光滑核奇异积分
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部