多线性分数次Hardy算子交换子的有界性

在齐次Morrey-Herz空间MK˙α,λp,q(Rn)上建立了由n维分数次Hardy算子和CBMO函数生成的多线性交换子H,b的有界性.     

Some BMO estimates for vector-valued multilinear singular integral operators

In this paper, we prove some BMO end-point estimates for some vector-valued multilinear operators related to certain singular integral operators.     

粗糙核多线性分数次积分算子在Morrey-Herz空间中的有界性

研究两类带粗糙核的多线性分数次积分算子,用转化为相应的截断算子来研究的方法,得出它们是从M（K）α,λp1,q1）空间到M（K）α,λp1,q1）空上的有界算子,把前人Herz空间此类算子的有界性推广到Herz-Morrey空间.     

Commutators of n-dimensional rough Hardy operators

In this paper, we study central BMO estimates for commutators of n-dimensional rough Hardy operators. Furthermore, λ-central BMO estimates for commutators on central Morrey spaces are discussed.     

多线性Hardy型算子在变指数Herz-Morrey乘积空间上的有界性

本文证明了多线性分数次Hardy算子Hβ,m和H *β,m (m∈Z+且m≥1)在变指数Herz-Morrey乘积空间上的有界性.对多线性Hardy算子也建立了相应的结果.     

具有粗糙核的多线性算子在Herz型空间的有界性

§ 1　Introduction and main resultsLet b∈BMO(Rn) and T be a standard Calderon-Zygmund singular integral operator.Define the commutator[b,T] as follows.[b,T] f(x) =b(x) Tf(x) -T(bf) (x) .In [3 ] ,the boundedness ofthe commutator[b,T] wasestablished on Lp(Rn) .There are thesimilar results in [1 ,2 ] when the commutator was substituted with the multilinearoperators generated by the singular integral operator T and a Taylor series A(see thedefinition below) .Recently,many mathematicians h…     

一类分数次积分算子在Herz型Hardy空间上的有界性

通过放宽尺寸条件,得到了一类具有分数次积分性质的次线性算子从Herz型Hardy空间到(弱)Herz型Hardy空间有界性的判定条件,以及端点处的弱型估计.     

Pointwise estimates for the maximal multilinear singular integral operators

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) estimate for the maximal multilinear singular integral operators.     

λ-Central BMO estimates for multilinear commutators of fractional integrals

The author establishes λ-central BMO estimates for commutators of multilinear fractional integral operators on central Morrey spaces.     

带Dini核的多线性算子在Herz型Hardy空间上的估计

In this paper, the authors study the multilinear operators with Dini Kernel and obtain their boundedness from Herz spaces to Herz-type Hardy spaces. Moreover, the authors also consider the corresponding fractional operators.     

Endpoint estimates for n-dimensional Hardy operators and their commutators

In this paper,the sharp bound for the weak-type(1,1) inequality for the n-dimensional Hardy operator is obtained.Moreover,the precise norms of generalized Hardy operators on the type of Campanato spaces are worked out.As applications,the corresponding norms of the Riemann-Liouville integral operator and the n-dimensional Hardy operator are deduced.It is also proved that the n-dimensional Hardy operator maps from the Hardy space into the Lebesgue space.The endpoint estimate for the commutator generated by the Hardy operator and the(central) BMO function is also discussed.     

Calderón-Zygmund operators on Herz type Hardy spaces

We consider the boundedness of Calderón-Zygmund operators from to , where is the Hardy space associated with the Herz space and is the local version of . We show Calderón's commutator is bounded from to .     

Weighted Hardy operators and commutators on Morrey spaces

The operator norms of weighted Hardy operators on Morrey spaces are worked out. The other purpose of this paper is to establish a sufficient and necessary condition on weight functions which ensures the boundedness of the commutators of weighted Hardy operators (with symbols in BMO(ℝ ⁿ )) on Morrey spaces.     

一类多线性积分算子的端点有界性

本文对一类相关于非卷积型算子的多线性算子,证明了其在端点情形上的有界性,该算子包括Littlewood-Paley算子和Marcinkiewicz算子．     

多线性算子的各向异性Hardy空间估计

文中我们证明了一类由Calderón-Zygmund奇异积分算子生成的从乘积空间Lp1(Rn)×Lp2(Rm)×…×LpJ(Rn)到各向异性Hardy空间Hq(Rn)和各向异性弱Hardy空间Hq,∞(Rn)的多线性算子是有界的.作为上述结果的应用,得到了一类由Calderón-Zygmund奇异积分算子和各向异性BMO函数生成的交换子Lp(1相似文献   

Boundedness for multilinear fractional integral operators on Herz type spaces

In this paper the boundedness for the multilinear fractional integral operator Iα^（m） on the product of Herz spaces and Herz-Morrey spaces are founded, which improves the Hardy- Littlewood-Sobolev inequality for classical fractional integral Iα. The method given in the note is useful for more general multilinear integral operators.     

各向异性函数空间上的多线性算子的估计及其应用

设A是Rn上的各向异性伸缩,L是由各向异性Calderón-Zygmund算子生成的一般的多线性算子.本文得到L从加权Lebesgue空间Lp(Rn)到无权的各向异性Hardy空间HpA(Rn)的有界性.另外,对各向异性Hardy空间H1(Rn)和加权各向异性BMO空间BMOwA(Rn)得到包含关系:BMOX(Rn)(...     

多线性分数次奇异积分在弱 Hardy 空间的Lipschitz 估计

讨论了一类具有粗糙核多线性分数次奇异积分算子在弱 Hardy 空间的性质,通过原子分解,得到了这类算子在弱Hardy空间的有界性.     

Hardy spaces estimates for a class of multilinear homogeneous operators

It is proved that a class of multilinear singular integral operators with homogeneous kernels are bounded operators from the product spaces to the Hardy spacesH ^r , (ℝ ⁿ ) and the weak Hardy spaceH ^r,∞ (ℝ ⁿ . As an application of this result, the L ^p ,(ℝ ⁿ ) boundedness of a class of commutator for the singular integral with homogeneous kernels is obtained. Project supparted in part by the National Natural Science Foundation of Chind (Grant No. 19131080) of China and Doctoral Programme Foundation of Institution of Higher Education (Grant No. 98002703) of China.