期刊文献+
共找到14篇文章
< 1 >
每页显示 20 50 100
COMMUTATORS OF BMO FUNCTIONS AND SINGULAR INTEGRAL OPERATORS WITH NON-SMOOTH KERNELS ON SPACES OF HOMOGENEOUS TYPE OF FINITE MEASURE
1
作者 Donggao Deng Yanbo Xu Lixin Yan 《Analysis in Theory and Applications》 2006年第1期41-55,共15页
Let X be a space of homogeneous type with finite measure. Let T be a singular integral operator which is bounded on L^p (X), 1 〈 p 〈 ∞. We give a sufficient condition on the kernel k(x,y) of Tso thatwhen a func... Let X be a space of homogeneous type with finite measure. Let T be a singular integral operator which is bounded on L^p (X), 1 〈 p 〈 ∞. We give a sufficient condition on the kernel k(x,y) of Tso thatwhen a function b ∈ BMO (X),the commutator [b,T] (f)=T (b f)- bT (f) is bounded on spaces L^p for all p, 1 〈 p 〈 ∞. 展开更多
关键词 COMMUTATOR homogeneous space bmo function singular integral operator
下载PDF
Multilinear Calderon-Zygmund operators and their commutators with BMO functions in variable exponent Morrey spaces 被引量:2
2
作者 Wei WANG Jingshi XU 《Frontiers of Mathematics in China》 SCIE CSCD 2017年第5期1235-1246,共12页
The boundedness of multilinear Calderdn-Zygmund operators and their commutators with bounded mean oscillation (BMO) functions in variable exponent Morrey spaces are obtained.
关键词 Multilinear CalderSn-Zygmund operator bounded mean oscillation(bmo function COMMUTATOR Morrey space variable exponent
原文传递
COMMUTATORS OF BOCHNER-RIESZ OPERATORS FOR A CLASS OF RADIAL FUNCTIONS 被引量:1
3
作者 夏霞 陆善镇 《Acta Mathematica Scientia》 SCIE CSCD 2011年第2期477-482,共6页
In this article, we prove the boundedness of commutators generated by BochnerRiesz operators below the critical index and BMO functions on the class of radial functions in Lp(Rn) with |1/p-1/2|〈(1+2α)/(2n).
关键词 COMMUTATOR Bochner-Riesz operator bmo function
下载PDF
Multilinear singular integrals and commutators in variable exponent Lebesgue spaces 被引量:24
4
作者 HUANG Ai-wu XU Jing-shi 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第1期69-77,共9页
Boundedness of multilinear singular integrals and their commutators from products of variable exponent Lebesgue spaces to variable exponent Lebesgue spaces are obtained. The vector-valued case is also considered.
关键词 Multilinear singular integral COMMUTATOR variable exponent Lebesgue space bmo function maximal operator.
下载PDF
THE COMPARISON OF GREEN FUNCTION FOR QUASI-LINEAR ELLIPTIC EQUATION 被引量:2
5
作者 郑神州 康秀英 《Acta Mathematica Scientia》 SCIE CSCD 2005年第3期470-480,共11页
A generalization of the usual Green function to a kind of nonlinear elliptic equation of divergence form is discussed. The regularity and comparison principle of Green function in the sense of distribution are shown.
关键词 Green function q-capacity bmo function Moser-Nash's iteration weak-L^p space
下载PDF
Toeplitz Type Operator Associated to Singular Integral Operator with Variable Kernel on Weighted Morrey Spaces 被引量:1
6
作者 Yuexiang He Yueshan Wang 《Analysis in Theory and Applications》 CSCD 2016年第1期90-102,共13页
Suppose T^k,l and T^k,2 are singular integrals with variable kernels and mixed homogeneity or ±I (the identity operator). Denote the Toeplitz type operator by T^b=k=1∑^QT^k,1M^bT^k,2 where M^bf= bf. In this pa... Suppose T^k,l and T^k,2 are singular integrals with variable kernels and mixed homogeneity or ±I (the identity operator). Denote the Toeplitz type operator by T^b=k=1∑^QT^k,1M^bT^k,2 where M^bf= bf. In this paper, the boundedness of Tb on weighted Morrey space are obtained when b belongs to the weighted Lipschitz function space and weighted BMO function space, respectively. 展开更多
关键词 Toeplitz type operator singular integral operator variable Calderon-Zygmund kernel weighted bmo function weighted Lipschitz function weighted Morrey space.
下载PDF
BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRATI ON ONHERZ-TYPE SPACES 被引量:1
7
作者 刘宗光 《Acta Mathematica Scientia》 SCIE CSCD 2000年第4期461-470,共10页
This paper establishes some strong type and weak type estimates for commutator [b,I1] on Herz-type spaces, where b E BMO(Rn) and I1 is a fractional integration with O < l < n.
关键词 Herz space weak Herz space Herz-type Hardy space fractional integration bmo(Rn) function COMMUTATOR
下载PDF
Weighted Oscillation and Variation Inequalities for Singular Integrals and Commutators Satisfying Hrmander Type Conditions 被引量:1
8
作者 Jing ZHANG Huo Xiong WU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2017年第10期1397-1420,共24页
This paper is devoted to investigating the weighted LP-mapping properties of oscillation and variation operators related to the families of singular integrals and their commutators in higher dimension. We establish th... This paper is devoted to investigating the weighted LP-mapping properties of oscillation and variation operators related to the families of singular integrals and their commutators in higher dimension. We establish the weighted type (p, p) estimates for 1 〈 p 〈 ∞ and the weighted weak type (1, 1) estimate for the oscillation and variation operators of singular integrals with kernels satisfying certain HSrmander type conditions, which contain the Riesz transforms, singular integrals with more general homogeneous kernels satisfying the Lipschitz conditions and the classical Dini's conditions as model examples. Meanwhile, we also obtain the weighted LP-boundeness for such operators associated to the family of commutators generated by the singular integrals above with BMO(Rd)-functions. 展开更多
关键词 OSCILLATION VARIATION singular integrals COMMUTATORS bmo functions HSrmander con-ditions Muckenhoupt weights
原文传递
Weighted Norm Inequalities for Marcinkiewicz Integrals with Non-Smooth Kernels on Spaces of Homogeneous Type
9
作者 Hung Viet Le 《Analysis in Theory and Applications》 CSCD 2022年第2期204-231,共28页
In this article,we obtain some weighted estimates for Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type.The weightωconsidered here belongs to the Muckenhoupt’s class A_(∞).Moreover,weigh... In this article,we obtain some weighted estimates for Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type.The weightωconsidered here belongs to the Muckenhoupt’s class A_(∞).Moreover,weighted estimates for commutators of BMO functions and Marcinkiewicz integrals are also given. 展开更多
关键词 COMMUTATORS Muckenhoupt weights Marcinkiewicz integrals Singular integrals Sharp maximal functions bmo functions Young functions Luxemburg norm Spaces of homogeneous type
原文传递
Sharp Estimates of p-Adic Hardy and Hardy-Littlewood-Pólya Operators 被引量:8
10
作者 Zun Wei FU Qing Yan WU Shan Zhen LU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第1期137-150,共14页
In this paper we get the sharp estimates of the p-adic Hardy and Hard^Littlewood-Pdlya operators on L^q (|x|apdx). Also, we prove that the commutators generated by the p-adic Hardy operators (Hardy-Littlewood-Pdl... In this paper we get the sharp estimates of the p-adic Hardy and Hard^Littlewood-Pdlya operators on L^q (|x|apdx). Also, we prove that the commutators generated by the p-adic Hardy operators (Hardy-Littlewood-Pdlya operators) and the central BMO functions are bounded on L^q (|x|apdx), more generally, on Herz spaces. 展开更多
关键词 p-Adic Hardy operator p-Adic Hardy-Littlewood-P61ya operator central bmo function Herz space
原文传递
Multilinear Singular Integral Operators with Generalized Kernels and Their Multilinear Commutators 被引量:3
11
作者 Yan LIN Ya Yuan XIAO 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2017年第11期1443-1462,共20页
In this paper, the authors study a class of multilinear singular integral operators with generalized kernels and their multilinear commutators with BMO functions. By establishing the sharp maximal estimates, the bound... In this paper, the authors study a class of multilinear singular integral operators with generalized kernels and their multilinear commutators with BMO functions. By establishing the sharp maximal estimates, the boundedness on product of weighted Lebesgue spaces and product of variable exponent Lebesgue spaces is obtained, respectively. Moreover, the endpoint estimate of this class of mutilinear singular integral operators is also established. These results can improve the corresponding known results of classical multilinear Calder6n-Zygmund operators and multilinear Calderon-Zygmund operators with Dini type kernels. 展开更多
关键词 Multilinear singular integral sharp maximal function multilinear commutator bmo function
原文传递
Weighted Estimates for Commutators of Strongly Singular Calderón–Zygmund Operators 被引量:4
12
作者 Yan LIN Guo Ming ZHANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2016年第11期1297-1311,共15页
In this paper, the authors establish the boundedness of commutators generated by strongly singular CalderSn-Zygmund operators and weighted BMO functions on weighted Herz-type Hardy spaces. Moreover, the corresponding ... In this paper, the authors establish the boundedness of commutators generated by strongly singular CalderSn-Zygmund operators and weighted BMO functions on weighted Herz-type Hardy spaces. Moreover, the corresponding results for commutators generated by strongly singular CalderSn- Zygmund operators and weighted Lipschitz functions can also be obtained. 展开更多
关键词 Strongly singular Calderón–Zygmund operator weighted bmo function weighted Lipschitz function
原文传递
Commutators of pseudo-differential operators 被引量:2
13
作者 LIN Yan School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China 《Science China Mathematics》 SCIE 2008年第3期453-460,共8页
In this paper, the boundedness of commutators generated by pseudo-differential operators and BMO functions is discussed on Lebesgue spaces.
关键词 pseudo-differential operator bmo function COMMUTATOR Lebesgue space 42B20 35S05 47G30
原文传递
Boundedness of commutators on homogeneous Herz spaces 被引量:12
14
作者 陆善镇 唐林 杨大春 《Science China Mathematics》 SCIE 1998年第10期1023-1033,共11页
The boundedness on homogeneous Herz spaces is established for a large class of linear commutators generated by BMO(R n ) functions and linear operators of rough kernels which include the Calderón-Zygmund operator... The boundedness on homogeneous Herz spaces is established for a large class of linear commutators generated by BMO(R n ) functions and linear operators of rough kernels which include the Calderón-Zygmund operators and the Ricci-Stein oRfiUatory singular integrals with rough kernels. 展开更多
关键词 Herz space power weight COMMUTATOR bmo(R^(n))function singular integral rough kernel
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部