Commutators of Bilinear Hardy Operators on Two Weighted Herz Spaces with Variable Exponents

In this paper, we obtain the boundedness of bilinear commutators generated by the bilinear Hardy operator and BMO functions on products of two weighted Herz spaces.     

Boundedness of Multilinear Operators on Herz Type Spaces： Extreme Cases

In this paper, two classes of closely related multilinear singular and fractional integrals,which include the commutators as special cases, are studied and their boundedness on Herz type spaces is discussed. In fact, it is proved that these operators are actually not bounded in certain extreme cases.     

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.     

关于多线性振荡奇异积分在加权Hardy-型空间上的一致估计

本文对一类具有光滑位相函数的多线性振荡奇异积分算子建立了一致的加权（H^1(R^n),L^1(R^n))估计及一致的加权（HKp(R^n),Kp(R^n)估计。     

Parameterized Littlewood-Paley Operators on Weighted Herz Spaces

The strong type and weak type estimates of parameterized Littlewood-Paley operators on the weighted Herz spaces K_q~(α,p) (ω_1, ω_2) are considered. The boundedness of the commutators generated by BMO functions and parameterized Littlewood-Paley operators are also obtained.     

粗糙核多线性分数次积分算子在加权Herz空间的有界性

研究两类带粗糙核的多线性分数次积分算子T_(Ω,α)~A, T_(Ω,α)~Af(x)=∫R_m(A;x,y)/R~n|x- y|~(n+m-α-1)Ω(x-y)f(y)dy及其相关的极大算子M_(Ω,α)~A在加权Herz空间的有界性,其中Ω∈L~s(S~(n-1))(s>1)是R~n中的零次齐次函数,m∈N,A有m=1阶导数且D~γA∈BMO(R~n)或D~γA∈L~r(R~n)(|γ|=m -1,1相似文献   

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．     

Continuity for Maximal Multilinear Bochner-Riesz Operators on Hardy and Herz Hardy Spaces

Let Baδ^A. be the maxiamal multilinear Bochner-Riesz operators generated by Bochner Riesz operators and D^αA∈ Lipβ（｜α｜= m）, The continuity of the operator on some Hardy and Herz type Hardy is obtained.     

伴随Herz空间的Hardy空间上的向量值Calderón-Zygmund算子(英文)

本文证明了一类具有向量值核的Calderon－Zygmund算子是Herz型Hard,空间HKp到向量值Herz空间KE,p有界的,应用这一结果,得到了粗糙核Calderon－Zygmund算子,极大型Calderon－Zygmund算子,极大算子等是HKp到Kp有界的．     

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.      

Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents

We establish the boundedness of rough singular integral operators on homogeneous Herz spaces with variable exponents. As an application, we obtain the boundedness of related commutators with BMO functions on homogeneous Herz spaces with variable exponents.     

次线性算子在Herz型Hardy空间上的有界性

本文得到了一类次线性算子在Herz型Hardy空间上的有界性判定条件,该算子包括调和分析中许多重要的算子,同时还证明了Bochner-Riesz算子在Herz型Hardy空间上的有界性.     

Marcinkiewicz积分在加权Herz空间上的有界性

In this paper,it is proved that the Marcinkiewicz integral operator μΩ is bounded on ·Kα,pq(ω1;ω2).     

Sublinear Operators with Rough Kernel on Herz Spaces with Variable Exponents

We prove some boundedness results for a large class of sublinear operators with rough kernel on the homogeneous Herz spaces where the three main indices are variable exponents. Some known results are extended.     

伴随BMO函数的交换子在Herz型Hardy空间上的加权有界性

记 [b ,T]为由BMO函数b与广义Calder幃ｎ Zygmund算子T生成的交换子 .研究了 [b ,T]在Herz型Hardy空间上的有界性及其加权有界性 .     

强奇异积分算子的交换子在Hardy空间的连续性(英文)

设1p>n/(n δ/ε)和b∈BOM(Rn),本文证明了强奇异积分算子交换子的(Hpb,Lp)-型和(Hp,∞b,Lp,∞)-型有界性,其中Hpb和Hp,∞b分别为Hardy空间与弱Hardy空间的变形。     

分数次积分在加权Herz型Hardy空间的有界性

讨论了具有齐性核的分数次积分算子TΩ,μ在加权Herz型Hardy空间的有界性,证明TΩ,μ是从HKq1α,p1(w1,w2q1)到Kq2 α,p2(w1,w2 q2)或HKq1α,p1(1,w2q2)到HKq2α,p2(1,w2q2)有界的.     

Marcinkiewicz积分交换子在Herz型空间中的弱型估计

用μΩ表示Marcinkiewicz积分,μΩ,b表示μΩ与函数b∈BMO(R~n)生成的交换子．本文证明了交换子μΩ,b是从Herz型Hardy空间H■_q~(n(1-(1/q)),p)(R~n)到弱Herz空间W■_q~(n(1-(1/q)),p)(R~n)有界的,其中0＜p≤1,1＜q＜∞．     

多线性Littlewood—Paley算子在一类H^1空间上的加权有界性

本证明明了多线性Littlewood—Patey算子在一类H^1空间上的加权有界性。     

次线性算子在双权变指标Herz空间上的有界性

本文给出了次线性算子在双权变指标Herz空间上的有界性.