θ型Calderón-Zygmund奇异积分算子交换子在Triebel-Lizorkin空间上的有界性

本文主要讨论了满足一定条件的θ型C alderón-Zygm und奇异积分算子交换子在T riebel-L izork in空间上的有界性问题.     

非齐型空间上弱核Calderón-Zygmund算子在Morrey空间的估计

在非齐型空间上讨论具有D in i型核条件的极大C alderón-Zygm und算子在M orrey空间Μqp(μ)的有界性和端点估计.     

θ型Calderón-Zygmund奇异积分算子交换了在Triebel-Lizorkin空间上的有界性

本文主要讨论了满足一定条件的θ型Calderón-Zygmund奇异积分算子交换子在Triebel-Lizorkin空间上的有界性问题.     

非齐型空间上一类积分算子在Morrey空间的有界性

本文在非齐型空间上讨论由分数次积分算子、Calderón-Zygmund算子及RBMO(μ)函数所构成的一般的Toeplitz型算子在Morrey空间的有界性.     

Calderón-Zygmund型算子交换子的加权尖锐估计

本文讨论了θ-型Calderón-Zygmund算子与BMO函数生成的交换子的加权估计.在权函数仅为非负局部可积函数或属于A∞的假设下,当0相似文献   

几类交换子在加权Morrey空间上的一点注记

若L~(p,k)(w)是加权Morrey空间,T和I_α是Calderón-Zygmund积分算子和分数次积分算子以及BMO函数b,讨论了它们的交换子[b,T]和[b,I_α]在端点P=1处是从L~(φ,k)(ω)到弱L~(1,k)(w)(L~(q,k)(ω))有界的,其中φ(t)=tlog(e+t),1/q=1-α/n.     

Bochner—Riesz算子交换子在加权Morrey空间上的有界性

运用了Sharp极大函数估计的方法证明了当权函数满足一定条件时,Bochner～Riesz算子与加权BMO函数生成的交换子在加权Morrey空间上的有界性．     

θ(t)型Calderón-Zygmund算子在非双倍测度下的有界性

本文研究了奇异积分算子在非双倍测度下的有界性问题,利用原子分解理论,证明了θ(t)型Calderón-Zygmund算子在非双倍测度下是从H1,∞atb(μ)到L1(μ)以及从L∞(μ)到RBMO(μ)有界的.这样,推广了Calderón-Zygmund算子在双倍测度下的空间有界性.     

广义Calderón-Zygmund算子交换子的加权有界性

讨论了广义Calderón-Zygmund算子与加权Lipschitz函数生成的交换子的有界性.     

RBMO(μ)与θ(t)型Calderón-Zygmund算子的交换子的有界性

设μ是Rd上的Randon测度,其唯一需要满足的条件是增长条件:μ(B(x,r))≤Crn对任意x∈Rd,r＞0成立,0＜n≤d.本文中,在这种非双倍测度下证明了RBMO(μ)与θ(t)型Calderón-Zygmund算子的交换子是L∞(μ)到RBMO(μ)有界的,同时还建立了该交换子H1b(μ)到L1(μ)的有界性.     

变指数加权Herz-Morrey空间上的分数次积分算子交换子的有界性

本文在指数函数的正则性自然假设下,建立了变指数加权Herz-Morrey空间上分数次积分算子及其交换子的有界性.从而得到了变指数加权Herz空间上的一个结果.     

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.     

加权变指标Herz-Morrey空间上的双线性Hardy算子的交换子

本文利用权范数给出BMO函数的一个新刻画.作为此刻画的一个应用,获得了双线性Hardy算子和BMO函数生成的交换子在加权变指标Herz-Morrey乘积空间上的有界性.     

分数次Hardy算子在变指数Herz-Morrey空间中的有界性

证明了n维分数次Hardy算子H_β和H_(β^*)从变指数Herz-Morrey空间MK(_p_1,q_1(·)*)从变指数Herz-Morrey空间MK(_p_1,q_1(·)^α,λ)(Rα,λ)(Rⁿ)到MK_(p_2,q_2(·)n)到MK_(p_2,q_2(·)^α,λ)(Rα,λ)(Rⁿ)的有界性.对n维Hardy算子也建立了相应的结果.     

The Weighted Morrey Boundedness of Multilinear Singular Integral Operators on RD-Spaces

An RD-space $\mathcal{X}$ is a space of homogeneous type in the sense of Coifman and Weiss, which is equipped with a measure satisfying an additional reverse doubling property. In this paper we study the boundedness of multilinear singular integral operators in weighted Morrey spaces within the framework of RD-spaces.     

一类次线性算子在广义Morrey空间上的加权有界性

本证明了如果次线性算子T在Orlicz空间上有介,则也有Morrey空间上有界,该算子包括极大算子和奇异积分算子等重要算子。     

Weighted Estimates of Variable Kernel Fractional Integral and Its Commutators on Vanishing Generalized Morrey Spaces with Variable Exponent

In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent generalized weighted Morrey spaces and the variable exponent vanishing generalized weighted Morrey spaces. And the corresponding commutators generated by BMO function are also considered.     

Toeplitz Type Operator Associated to Singular Integral Operator with Variable Kernel on Weighted Morrey Spaces

Suppose Tk,1 and Tk,2 are singular integrals with variable kernels and mixed homogeneity or ± I(the identity operator). Denote the Toeplitz type operator by Tb=∑Qk=1Tk,1MbTk,2,where Mbf=bf. In this paper, the boundedness of Tbon weighted Morrey space are obtained when b belongs to the weighted Lipschitz function space and weighted BMO function space, respectively.     

Weighted Lipschitz Estimate for Commutator of Bochner-Riesz Operators on Weighted Morrey Spaces

In this paper, we will use a method of sharp maximal function approach to show the boundedness of commutator [b,TδR] by Bochner-Riesz operators and the function b on weighted Morrey spaces Lp,κ(ω) under appropriate conditions on the weight ω, where b belongs to Lipschitz space or weighted Lipschitz space.     

Boundedness for Commutators of Approximate Identities on Weighted Morrey Spaces

The aim of this paper is to set up the weighted norm inequalities for commutators generated by approximate identities from weighted Lebesgue spaces into weighted Morrey spaces