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CALDERON-ZYGMUND: 作品数：36被引量：83H指数：5; 导出分析报告; 相关领域：理学更多>>; 相关作者：李文明黄小妹陆燕陈冬香朱月萍更多>>; 相关机构：河北师范大学南通大学江西师范大学上饶师范学院更多>>; 相关期刊：《Acta Mathematicae Applicatae Sinica》《江西师范大学学报（自然科学版）》《Acta Mathematica Scientia》《Chinese Quarterly Journal of Mathematics》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划江西省自然科学基金国家教育部博士点基金更多>>

考尔德伦-赞格蒙(Calderon-Zygmund)算子广义交换子在广义加权莫里(Morrey)空间上的有界性: 《上饶师范学院学报》2023年第6期1-6,共6页黄琪黄时祥; 江西省自然科学基金(20192BAB201004)。; 利用调和分析中处理广义交换子与奇异积分算子的一些方法,得到考尔德伦-赞格蒙(Calderon-Zygmund)算子广义交换子在广义加权莫里(Morrey)空间上的有界性。; 关键词：CALDERON-ZYGMUND算子广义加权Morrey空间广义交换子

多线性考尔德伦-赞格蒙(Calderon-Zygmund)算子交换子在莫里(Morrey)空间上的端点估计: 《上饶师范学院学报》2022年第6期21-28,共8页刘建明黄时祥; 江西省自然科学基金项目(20192BAB201004);江西省教育厅科技项目(GJJ190890)。; 奇异积分算子交换子的端点估计是调和分析的热门话题之一。研究证明了由BMO函数和多线性Calderon-Zygmund算子T生成的交换子在Morrey空间上的端点估计,其中Morrey空间是Lp空间的推广。; 关键词：多线性Calderon-Zygmund算子交换子 Morrey空间端点估计

Inequalities for Higher Order Riesz-Laguerre Transforms: 《Advances in Pure Mathematics》2022年第4期332-347,共16页Ammar Elobied Abdelgader Siddig Sabir Widatalla; The weak-type (1, 1) boundedness of the higher order Riesz-Laguerre transforms associated with the Laguerre polynomials and the boundedness for the Riesz-Laguerre transforms of order 2 are considered. We discuss a pol...; 关键词：Riesz-Laguerre Transform Polynomial Expansion Weak-Type Stein Complex Interpolation Theorem Calderon-Zygmund-Type Riesz-Gauss Transform

Weighted Norm Inequalities for Toeplitz Type Operator Related to Singular Integral Operator with Variable Kernel: 《Analysis in Theory and Applications》2019年第4期377-391,共15页Yuexiang He; Let Tk,1 be the singular integrals with variable Calderón-Zygmund kernels or ±Ⅰ(the identity operator), let Tk,2 and Tk,4 be the linear operators, and let Tk,3= ±Ⅰ.Denote the Toeplitz type operator by ■ where Mb...; 关键词：TOEPLITZ TYPE OPERATOR variable CALDERON-ZYGMUND kernel FRACTIONAL integral weighted LIPSCHITZ space

Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderon-Zygmund singular integrals被引量：2: 《Frontiers of Mathematics in China》2017年第3期531-558,共28页Dongxiang CHEN Shanzhen LU Suzhen MAO; This work was supported in part by the National Natural Science Foundation of China （Grant Nos. 10961015, 11261023, 10871024, 10931001, 11561057） and the Key Laboratory of Mathematics and Complex System, Ministry of Education, China.; This paper concerns with multiple weighted norm inequalities for maximal vector-valued multilinear singular operator and maximal commutators. The Cotlar-type inequality of maximal vector-valued multilinear singular in...; 关键词：Multilinear singular integrals vector-valued commutator multiple weight maximal functions

An equivalent characterization of BMO with Gauss measure被引量：1: 《Frontiers of Mathematics in China》2017年第3期749-768,共20页Zhehui WANG Dongyong YANG; This work was supported by the National Natural Science Foundation of China of China （Grant No. 11571289）.; Let γ be the Gauss measure on Rn. We establish a Calderon- Zygmund type decomposition and a John-Nirenberg type inequality in terms of the local sharp maximal function and the median value of function over cubes. As ...; 关键词：BMO John-Nirenberg inequality Gauss measure median value Calderon-Zygmund decomposition sharp maximal function

Toeplitz Type Operator Associated to Singular Integral Operator with Variable Kernel on Weighted Morrey Spaces被引量：1: 《Analysis in Theory and Applications》2016年第1期90-102,共13页Yuexiang He Yueshan Wang; 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,...; 关键词：Toeplitz type operator singular integral operator variable Calderon-Zygmund kernel weighted BMO function weighted Lipschitz function weighted Morrey space.

Estimates for the Maximal Bilinear Singular Integral Operators被引量：2: 《Acta Mathematica Sinica,English Series》2015年第5期847-862,共16页Guo En HU; Supported by NSFC(Grant No.11371370); In this paper, the behavior on the product of Lebesgue spaces is considered for the maximal operators associated with the bilinear singular integral operators whose kernels satisfy certain minimal regularity conditions.; 关键词：Bilinear singular integral operator maximal operator multilinear interpolation Calderon-Zygmund decomposition

Commutators Generated by Multilinear Calderon-Zygmund Type Singular Integral and Lipschitz Functions被引量：5: 《Acta Mathematicae Applicatae Sinica》2014年第4期903-912,共10页Hui-xia MO Shan-zhen LU; Supported by the National Natural Science Foundation of China(No.11161042,11271175); In this paper, we establish the boundedness of commutators generated by the multilinear Calderon- Zygmud type singular integrals and Lipschitz functions on the Triebel-Lizorkin space and Lipschitz spaces.; 关键词：multilinear Calderon-Zygmud type singular integral COMMUTATOR Triebel-Lizorkin space Lips-chitz space

与一类奇异积分算子相关的Toeplitz型算子的λ-中心BMO估计: 《高校应用数学学报（A辑）》2013年第3期359-366,共8页陈冬香戴晓斌; 国家自然科学基金(10961015;11261023);江西省自然科学基金(20122BAB201011);江西省教育厅基金(GJJ0397); 首先建立了由λ-中心BMO函数和Calderon-Zygmund型奇异积分算子生成的Toeplitz算子的sharp极大函数的点态估计,利用该估计和分数次极大算子在中心Morrey空间的有界性,证明了该Toeplitz算子是B^(p_1,λ_1)到B^(q,λ)上的有界算子.作为应...; 关键词：λ-中心BMO空间 Toplitz型算子 Calderon-Zygmund型奇异积分算子 Sharp极大函数

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