局部紧Vilenkin群上弱Morrey-Herz空间中一些算子的有界性

首先引入了一个新空间—局部紧Vilenkin群G上弱齐次Morrey-Herz空间WMK_(p,q)~(α,λ)(G),然后在WMK_(p,q)~(α,λ)(G)上讨论了一些奇异积分算子和分数次奇异积分算子的有界性问题.     

分数次积分交换子在Vilenkin群Morrey空间上的有界性

在Vilenkin群上研究了分数次积分与BMO的交换子在Lp空间和Morrey空间上的有界性质.     

Boundedness of commutators on homogeneous Morrey-Herz spaces over locally compact Vilenkin groups

This paper studies some boundedness results of commutators on a class of new spaces M K˙pα,,qλ (G) named as homogenous Morrey-Herz spaces over locally compact Vilenkin groups.     

分数次积分算子在Vilenkin群Morrey空间上的有界性质

引入了Vilenkin群上弱Morrey空间的概念,得到了分数次积分算子在Vilenkin群Morrey空间上的有界性质,特别地,我们给出了在端点处的弱型估计.     

局部紧Vilenkin群上Herz空间的一个分解定理

In this paper, by applying a vector-valued inequality we obtained a decomposition theorem on Herz spaces over locally compact Vilenkin groups with new range 0 < q≤1.     

某些算子在局部紧的Vilenkin群上的Herz型Hardy空间

G表示局部紧的Vilenkin群， 在论文中作者将研究某些次线性算子和Calderón Zygmund算子在Herz型Hardy空间上的有界性.      

Vilenkin群上Morrey空间里的算子有界性

Let G be a locally compact Vilenkin group. We will establish the boundedness in Morrey spaces L^p,λ(G) for a large class of sublinear operators and linear commutators.     

Vilenkin群上的加权Hardy空间中的乘子

本文主要研究了Vilenkin群上的加权Hardy空间的原子分解,证明了一个加权H^p乘子定理并给出其应用。     

局部紧Vilenkin群上Herz空间中的交换子

本文建立了局部紧Vilenkin群上Herz空间中一些交换子的有界性定理。     

Bilinear Operators on Herz-type Hardy Spaces on Locally Compact Vilenkin Groups

Let G be a locally compact Vilenkin group. In this paper the authors study the boundedness of bilinear operators B（f, g） given by finite sums of products of Calderdn-Zygmund operators in Herz space and Herz-type Hardy space on G. And an example, the boundedness from the products of Herz space to Herz-type Hardy space is given in the last section.     

齐次~Morrey-Herz 空间上分数次积分算子高阶交换子的有界性

在齐次Morrey-Herz空间上建立了高阶交换子~$T^{m}_{b,l}$ 和 ~$M^{m}_{b,l}$的有界性，其中~$T^{m}_{b,l}$ 和 ~$M^{m}_{b,l}$ 是由分数次积分算子和分数次极大算子分别与~BMO($R^{n}$)函数生成的高阶交换子.     

Marcinkiewicz积分在非齐型Morrey-Herz空间中的有界性

在非齐型Morrey-Herz空间MK_(p,q)~(α,λ)(μ)中建立了Marcinkiewicz积分算子的有界性,并给出了相应的端点估计.     

Boundedness of Sublinear Operators in Herz Spaces on Vilenkin Groups and its Application

The authors establish the boundedness of some sublinear operators in weighted Herz spaces on Vilenkin groups under certain weak local hypotheses on the size of these operators at the identity. This class of operators includes most of the important operators in harmonic analysis on Vilenkin groups. The main theorems are best possible under the conditions of the theorems. As applications, the authors establish the Littlewood-Paley function characterization of some Herz spaces and the relations between Herz spaces and Herz-type Hardy spaces.     

局部紧的Vilenkin群上的加权局部Hardy空间

该文给出了Vilenkin群上加权局部Hardy空间的定义,它的原子分解及对偶性质,并且研究了一类卷积算子在其上的有界性．     

Weighted Boundedness for Generalized Maximal andSingular Integral Operators in Orlicz-Morrey Spaces

51.IntroductionTheweightedboundednessformaximalandsingularintegraloperatorsonLp(p>1)andBMofunctionspacesarenowunderstood(see[lj)-AsMorreyspacemaybeconsideredasanextensionofthespaces,itisnaturalandimportanttostudytheweightedbou11dednessformax-imalandsingularintegraloperatorsonMorreyspaces.Thepurposeofthispaperistostu`lythequestion,theweightedboundednessfortheoperatorsinOrlicz-Morreyspacesareobtained,andthecharacterizationsfornon-weightedboundednessofmaximaloperatorarealsoobtained.Someworkint…     

Calderón – Zygmund Operators on Weighted Weak Hardy Spaces in Locally Compact Vilenkin Groups

Let G be a bounded locally compact Vilenkin group. We study the atomic decom‐position of weighted weak Hardy space. We also define several Calderón – Zygmund type operators and study their boundedness on, spaces like weighted Hardy spaces, weighted weak Hardy spaces and weighted weak Lebesgue spaces. Sharpness of some of our results is also discussed.     

抛物型奇异积分算子在Triebel-Lizorkin空间的有界性

在Triebel-Lizorkin空间上建立了粗糙核抛物型奇异积分算子T的有界性,其中算子T定义为Tf(x)=p.v.∫_(Rn)(Ω(y))/(ρ(y)~β)f(x-y)dy,β≥n,ρ是伴随某种非迷向展缩的范数.     

Boundedness of Singular Integral Operators on Herz-Morrey Spaces with Variable Exponent

Let ? ∈ L^s(S^n-1)(s>1) be a homogeneous function of degree zero and b be a BMO function or Lipschitz function. In this paper, the authors obtain some boundedness of the Calderón-Zygmund singular integral operator T_? and its commutator [b, T_?] on Herz-Morrey spaces with variable exponent.     

Potential Operators in Weighted Herz-Type Spaces over Locally Compact Vilenkin Groups

Let G be a bounded locally compact Vilenkin group. We study the boundedness of potential operators and the maximal operators associated with them in the weighted Herz space, the weighted Hardy space and the weighted Herz-type Hardy space over G. We also discuss the boundedness of these operators on the weighted weak Lebesgue space and the weighted weak Herz space whose sharpness are also discussed. This revised version was published online in June 2006 with corrections to the Cover Date.     

一类次线性算子在局部紧Vilenkin群上Herz型Hardy空间上的有界性

设 G是局部紧的 Vilenkin群 .本文研究了一类具有分数次积分性质的次线性算子从 H Kα,p1q1(G)到 (弱 ) H Kα,p2q2 (G)有界的判别条件 .