共查询到20条相似文献,搜索用时 10 毫秒
1.
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. 相似文献
2.
Liu Lanzhe 《Proceedings Mathematical Sciences》2005,115(2):167-190
In this paper, we prove some BMO end-point estimates for some vector-valued multilinear operators related to certain singular
integral operators. 相似文献
3.
朱诗红 《纯粹数学与应用数学》2010,26(5):850-857
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. 相似文献
4.
FU ZunWei LU ShanZhen & ZHAO FaYou School of Mathematical Sciences Beijing Normal University Beijing China 《中国科学 数学(英文版)》2011,(1)
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. 相似文献
5.
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. 相似文献
6.
§ 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… 相似文献
7.
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. 相似文献
8.
HU Guo''''en LI Dengfeng & LU Shanzhen Department of Applied Mathematics University of Information Engineering P. O. Box - Zhengzhou China College of Mathematical Information Sciences Henan University Kaifeng China Department of Mathematics Beijing Normal University Beijing China 《中国科学A辑(英文版)》2005,48(12):1696-1706
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. 相似文献
9.
Zeng Yan Si 《数学学报(英文版)》2010,26(11):2093-2108
The author establishes λ-central BMO estimates for commutators of multilinear fractional integral operators on central Morrey spaces. 相似文献
10.
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. 相似文献
11.
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. 相似文献
12.
Yasuo Komori 《Journal of Mathematical Analysis and Applications》2003,286(1):80-88
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 . 相似文献
13.
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. 相似文献
14.
一类多线性积分算子的端点有界性 总被引:3,自引:0,他引:3
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. 相似文献
15.
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
16.
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. 相似文献
17.
18.
19.
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. 相似文献
20.
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. 相似文献