多线性强奇异Calderón-Zygmund算子的多线性迭代交换子的Sharp极大和加权估计

本文主要建立了由多线性强奇异Calderón-Zygmund算子和BMO函数生成的多线性迭代交换子的Sharp极大估计.作为应用,也分别得到了该类多线性迭代交换子在乘积加权Lebesgue空间和乘积变指数Lebesgue空间上的有界性.     

多重奇异积分的多线性交换子

引进了由多重奇异积分和BMO函数生成的多线性交换子,然后得到了此类算子从Lebesgue积空间到Lebesgue空间的有界性,最后也给出了此类算子的加权和向量值不等式.     

广义Morrey空间上的奇异积分多线性交换子

本文得到了具有混合齐次变量核的奇异积分算子的多线性交换子在广义Morrey空间和加权Lebesgue空间上的有界性.     

广义Morrey空间上的奇异积分多线性交换子

本文得到了具有混合齐次变量核的奇异积分算子的多线性交换子在广义Morrey空间和加权 Lebesgue空间上的有界性．     

Boundedness of oscillatory singular integral with rough kernels on Triebel-Lizorkin spaces

In this paper, we will prove the Triebel-Lizorkin boundedness for some oscillatory singular integrals with the kernel (x) satisfying a condition introduced by Grafakos and Stefanov. Our theorems will be proved under various conditions on the phase function, radial and nonradial. Since the L p boundedness of these operators is not complete yet, the theorems extend many known results.     

Boundedness for Multilinear Commutators of Marcinkiewicz Integral on Morrey-Herz Spaces with Non Doubling Measures

In this paper, the authors establish the boundedness of multilinear commutators generated by a Marcinkiewicz integral operator and a RBMO(μ) function on homogeneous Morrey-Herz spaces with non doubling measures.     

有变量核的分数次积分算子交换子的CBMO估计(英文)

In this paper,the authors introduce the central bounded oscillation space CBMO q (R n),let [b,T,α ] be the commutator generated by fractional integral operators with variable kernels and CBMO function,we establish the boundedness of [b,T,α ] on homogeneous Morrey-Herz spaces.     

齐次Morrey-Herz空间上多线性交换子的有界性

首先证明了极大多线性交换子在齐次Morrey-Herz空间上的有界性,并证明了由线性算子和BMO函数生成的多线性交换子在齐次Morrey-Herz空间上的有界性.     

分数次积分交换子在非齐Morrey空间上的紧性

The aim of this paper is to establish the necessary and sufficient conditions for the compactness of fractional integral commutator[b,I_γ]which is generated by fractional integral I_γand function b∈Lip_β(μ)on Morrey space over non-homogeneous metric measure space,which satisfies the geometrically doubling and upper doubling conditions in the sense of Hytonen.Under assumption that the dominating functionλsatisfies weak reverse doubling condition,the author proves that the commutator[b,I_γ]is compact from Morrey space M_q^p(μ)into Morrey space M_t^s(μ)if and only if b∈Lip_β(μ).     

具有p-Laplacian算子的奇异四阶积分边值问题的正解

In this paper, we investigate the existence of positive solutions for singular fourthorder integral boundary-value problem with p-Laplacian operator by using the upper and lower solution method and fixed point theorem. Nonlinear term may be singular at t= 0 and/or t - 1 and x =0.     

Weighted Lp Estimates for Maximal Commutators of Multilinear Singular Integrals

This paper is concerned with the pointwise estimates for the sharp function of two kinds of maximal commutators of multilinear singular integral operators T∑b^＊ and TПb^＊ which are generalized by a weighted BMO function b and a multilinear singular integral operator T, respectively. As applications, some commutator theorems are established.     

Commutators of Multilinear Singular Integrals with Lipschitz Functions

The boundedness of commutators of multilinear singular integrals with Lipschitz functions in product Lebesgue spaces is obtained.     

带非光滑核的多线性奇异积分算子的极大交换子

本文研究了具有非光滑核的m-线性Calderon-Zygmund算子的极大交换子的Cotlar不等式,建立了上述m-线性Calderon-Zygmund算子的交换子和极大交换子的加权不等式.     

Calderón-Zygmund算子多线性交换子在加权Morrey-Herz空间上的有界性

研究Calderon-Zygmund奇异积分算子与BMO函数生成的多线性交换子,建立了其在加权Morrey-Herz型空间的有界性.     

分数次积分的多线性换位子

设L是L2(Rn)上解析半群的无穷小生成算子,其积分核具有高斯界,L-α/2表示L的分数次积分算子,其中0＜α＜n.对自然数m,若bi(i=1,2,…,m)表示Rn上有界平均振荡函数,则由分数次积分L-α/2与bi(i=1,2,…,m)生成多线性交换子是从Lp(Rn)到Lq(Rn)是有界的,其中1＜p＜α/n,1/q=1/p-α/n.     

Multilinear singular integrals and commutators in variable exponent Lebesgue spaces

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.     

强奇异积分算子交换子的端点估计

本文考虑强奇异积分算子的交换子在Hardy型空间上的端点估计,建立了这类交换子从H¹（Rⁿ）到弱 L¹（Rⁿ）上的有界性及H¹（Rⁿ）的某个子空间到 L¹（Rⁿ）上的有界性结果.     

Commutators Generated by Multilinear Calderon-Zygmund Type Singular Integral and Lipschitz Functions

In this paper,we establish the boundedness of commutators generated by the multilinear CalderonZygmud type singular integrals and Lipschitz functions on the Triebel-Lizorkin space and Lipschitz spaces.