检索结果-南通市图书馆

Weighted estimates for the multilinear singular integral operators with non-smooth kernels

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2011年第3期54卷 587-602页

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 department of applied mathematics Zhengzhou Information Science and Technology Institute Zhengzhou China department of mathematics Beijing Normal University Beijing China

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... 详细信息

关键词： approximation to the identity weighted norm inequality singular integral operator non-smooth kernel Calderón-Zygmund decomposition

ENDPOINT ESTIMATE FOR MAXIMAL COMMUTATORS WITH NON-DOUBLING MEASUES

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2006年第2期26卷 271-280页

作者：胡国恩孟岩杨大春 department of applied mathematics University of information Engineering Zhengzhou 450002China School of Mathematical sciences Beijing Normal University Beijing 100875China

The authors establish the weak type endpoint estimate for the maximal commutators generated by Calderon-Zygmund singular integrals and Orlicz type functions with non-doubling measures.

关键词： Maximal commutator endpoint estimate Orlicz type space non-doubling measure

Pointwise estimates for the maximal multilinear singular integral operators

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2005年第12期48卷 1696-1706页

作者： hu Guo’en, LI Dengfeng & LU Shanzhen department of applied mathematics, University of information Engineering, P. O. Box 1001 -747, zhengzhou 450002, china College of Mathematical and information sciences, Henan University, Kaifeng 475001, china department of mathematics, Beijing Normal University, Beijing 100875, china department of applied mathematics University of Information Engineering Zhengzhou 450002 China College of Mathematical and information sciences Henan University Kaifeng 475001 China department of mathematics Beijing Normal University Beijing 100875 China

Two pointwise estimates relating the maximal multilinear singular integral operators and some classical maximal operators are established. These pointwise estimates imply the rearrangement estimate and the BLO(Rn) est... 详细信息

关键词： multilinear singular integral,maximal operator,BMO (Rn),BLO (Rn).

Weighted estimates for commutators of singular integral operators with non-doubling measures

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2007年第11期50卷 1621-1641页

作者： Guo-en hu~1 Da-chun YANG~(2+) Dong-yong YANG~2 1 department of applied mathematics,University of information Engineering,zhengzhou 450002,china 2 School of Mathematical sciences,Beijing Normal University,Beijing 100875,china department of applied mathematics University of Information Engineering Zhengzhou China School of Mathematical sciences Beijing Normal University Beijing China

Letμbe a nonnegative Radon measure on R^d which only satisfiesμ(B(x,r))≤C_0r^n for all x∈R^d,r>0,and some fixed constants C_0>0 and n∈(0,d].In this paper,some weighted weak type estimates with A_(p,(log L)~σ)~ρ(μ) weights are established for the commutators generated by Calder■n-Zygmund singular integral operators with RBMO(μ) functions.

关键词： non-doubling measure weight singular integral operator commutator

A SHARP FUNCTION ESTIMATE FOR MULTILINEAR SINGULAR INTEGRAL OPERATORS

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2000年第1期16卷 17-25页

作者： hu guoen(department of applied mathematics institute of information Engineering P. O. Box 1001-747, zhengzhou 450002 PRC) nstitute of information Engineering China

A variant sharp function estimate is established for the multilinear singular integral operators. Two applications of this estimate are also given.

关键词： oscillatory integral operator multiplier singularity

AN ENDPOINT ESTIMATE FOR THE COMMUTATORS OF SINGULAR INTEGRALS WITH NON DOUBLING MEASURES

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2003年第1期19卷 29-36页

作者： hu guoen and Jiao Yulan (University of information Engineering, china) department of applied mathematics University of Information Engineering Zhengzhou P. R. China School of Science University of Information Engineering Zhengzhou P. R. China

A weak type endpoint estimate is established for commutators of the Calderon-Zygmund singular integrals on Rd with non doubling measures.

关键词： singular integral commutator,doubling measure

Weighted Compact Commutator of Bilinear Fourier Multiplier Operator

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2017年第3期38卷 795-814页

作者： guoen hu department of applied mathematics Zhengzhou Information Science and Technology InstituteZhengzhou 450001 China.

Let T_σ be the bilinear Fourier multiplier operator with associated multiplier σ satisfying the Sobolev regularity that sup κ∈Z∥σ_κ∥W^s(R^(2n))< ∞ for some s ∈ (n, 2n]. In this paper, it is proved that the commutator generated by T_σ and CMO(R^n) functions is a compact operator from L^(p1)(R^n, w_1) × L^(p2)(R^n, w_2) to L^p(R^n, ν_w) for appropriate indices p_1, p_2, p ∈ (1, ∞) with1 p=1/ p_1 +1/ p_2 and weights w_1, w_2 such that w = (w_1, w_2) ∈ A_(p/t)(R^(2n)).

关键词： Bilinear Fourier multiplier Commutator Bi(sub)linear maximal operator Compact operator

Estimates for multUinear singular integral operators with nonsmooth kernels

在线全文

学校读者我要写书评

暂无评论

Frontiers of mathematics in china 2012年第1期7卷 51-67页

作者： guoen hu Yan MENG department of applied mathematics Zhengzhou Information Science and TechnologyInstitute Zhengzhou 450002 China School of information Renmin University of China Beijing 100872 China

Let （H,d,μ） be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, we consider the behavior on Lp^p1 （X） x ... x LP^m（X） for the m-linear singular integral operators with nonsmooth ker... 详细信息

关键词： Approximation to the identity multilinear singular integraloperator nonsmooth kernel

WEIGHTED NORM INEQUALITIES FOR THE COMMUTATORS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2011年第3期31卷 749-764页

作者： hu guoen Zhu Yueping department of applied mathematics Zhengzhou Information Science and Technology Institute Zhengzhou 450002 China School of Science Nantong University Nantong 226007 China

In this paper, the authors consider the weighted estimates for the commutators of multilinear Calderón-Zygmund *** introducing an operator which shifts the commutation, and establishing the weighted estimates for this new operator, the authors prove that, if p_1 ∈ （1,∞）, p_2,…,p_m ∈（1,∞], p ∈ （0,∞） with 1/p =Σ1≤k≤ m 1/pk, then for any weight w, the commutators of m-linear Galderón-Zygmund operator are bounded from L P1（R n,M_l（logL） σw）× p2（Rn,M~w）×...×Lpm（Rn,Mw） to Lp（Rn,w）with σ to be a constant depending only on p_1 and the order of commutator

关键词： multilinear Calderón-Zygmund operator weighted norm inequality commutator Caldern-Zygmund decomposition