λ-中心Morrey空间上的Calderon-Zygmund算子的多线性交换子(英文)

作者研究得到了由Calderon-Zygmund算子和向量符号b=(b_1,b_1,…,b_m)产生的多线性交换子T_b~m在λ-中心Morrey空间上的有界性.进一步,建立了由多线性Calderon-Zygmund算子和λ-中心BMO函数产生的多线性交换子T_b~m在λ-中心Morrey乘积空间上的有界性.     

高维分数次Hardy算子交换子的λ中心BMO估计

本文得到了高维Hardy算子在λ中心BMO空间上有界的最佳常数,并建立了高维分数次Hardy算子交换子在中心Morrey空间上的λ中心BMO估计.     

极大多线性Bochner-Riesz算子的Morrey空间估计

本文用分数次极大算子控制的方法,得到了极大多线性Bochner-Riesz算子在Morrey空间的有界性,并且证明了它也是从Mp1,1+p1(λ-β/n)空间到BMOλ,p2空间上的有界算子,其中1/p1-β/n=1/p2,-1/p2≤λ＜1/n.     

一些函数空间上带Dini核的Calderón-Zygmund算子的交换子（英文）

本文主要建立了带Dini核的Calderón-Zygmund算子与加权Lipschitz函数生成的交换子在加权Lebesgue空间以及加权广义Morrey空间上的有界性.进一步,给出了带Dini核的奇异积分算子在加权中心Morrey空间上的加权λ-中心BMO估计.     

奇异积分和位势积分交换子在极大Morrey空间上的有界性

设齐次空间(X,ρ,μ)上定义一类极大Morrey空间L~(p),θ,λ)(X,μ).此类极大Morrey空间是经典的Morrey空间和极大Lebesgue空间的推广.本文考虑了C-Z积分算子、位势算子与BMO函数生成的交换子在该类极大Morrey空间上的有界性.事实上,这些结果甚至在一般的欧式空间上也是新颖的.     

加权Hardy-Littlewood平均的一些估计（英文）

研究了加权Hardy-Littlewood平均在λ-中心Campanoto型空间上以及加权λ-中心Morrey型空间上的有界性,并且得到了它的算子范数.     

振荡积分算子及其交换子在加权Morrey空间上的有界性质

振荡积分算子的有界性质是调和分析研究的中心内容之一. 本文得到了由Ricci 和Stein 定义的一类振荡积分算子在加权Morrey 空间中的强型、弱型估计. 在此基础上, 得到了该类振荡积分算子与BMO 函数生成的交换子的强型估计, 还建立了分数次振荡积分算子的对应结果.     

具有粗糙核的双线性分数次积分算子交换子在中心广义Morrey空间中的有界性

研究了一类由λ-中心有界平均振荡空间中的函数生成的双线性分数次积分算子交换子,证明了双线性分数次积分算子的交换子在中心广义Morrey空间中的有界性.     

带振荡核奇异积分算子交换子在加权Morrey空间中的有界性质

本文研究Morrey空间中的交换子有界性的问题.利用John-Nirenberg不等式等工具建立带振荡核的奇异积分算子与BMO函数生成交换子在加权Morrey空间中的加权估计.     

乘积型Morrey空间中乘积Hardy型算子的最佳界

本文得到了乘积Hardy型算子Hm在乘积Morrey空间L^q,λ(Rⁿ×…×Rⁿ)和齐次中心Morrey空间B^q,λ(Rⁿ×…×Rⁿ)上的算子范数.基于旋转方法,我们推广了傅尊伟等人的结果(见[Houston J.Math.,2012,38(1):225-244]).     

齐型空间上的Toeplitz型算子

设X是齐型空间.设T_(j,1)和T_(j,2)是具有非光滑核的奇异积分算子,或者是±II(I是恒等算子).令Toeplitz型算子T_b=■T_(j,1)M_T_(j,2),其中M_bf(x)=b(x)f(x).研究了当b∈BMO(X)时,T_b(f)在加权情况下的有界性,以及当b∈BMO(X)时,与经典Carderon-Zygmund算子相联的T_b(f)在Morrey空间上的有界性.     

与截面相关的Morrey空间与奇异积分

In this paper, we define the Morrey spaces M_F~(p,q) (Rn) and the Campanato spaces E_F~(p,q) (R~n) associated with a family F of sections and a doubling measure μ, where F is closely related to the Monge-Amp`ere equation. Furthermore, we obtain the boundedness of the Hardy-Littlewood maximal function associated to F, Monge-Amp`ere singular integral operators and fractional integrals on M_F~(p,q)(R~n). We also prove that the Morrey spaces M_F~(p,q) (R~n)and the Campanato spaces E_F~(p,q) (R~n) are equivalent with 1 ≤ q ≤ p ∞.     

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.     

Generalized Weighted Morrey Estimates for Marcinkiewicz Integrals with Rough Kernel Associated with Schrödinger Operator and Their Commutators

Let L =-?+V(x) be a Schr?dinger operator, where ? is the Laplacian on ■~n,while nonnegative potential V(x) belonging to the reverse H?lder class. The aim of this paper is to give generalized weighted Morrey estimates for the boundedness of Marcinkiewicz integrals with rough kernel associated with Schr?dinger operator and their commutators.Moreover, the boundedness of the commutator operators formed by BMO functions and Marcinkiewicz integrals with rough kernel associated with Schr?dinger operators is discussed on the generalized weighted Morrey spaces. As its special cases, the corresponding results of Marcinkiewicz integrals with rough kernel associated with Schr?dinger operator and their commutators have been deduced, respectively. Also, Marcinkiewicz integral operators, rough Hardy-Littlewood(H-L for short) maximal operators, Bochner-Riesz means and parametric Marcinkiewicz integral operators which satisfy the conditions of our main results can be considered as some examples.     

Marcinkiewicz积分交换子在加权Morrey空间上的有界性

Marcinkiewicz积分是分析中的一类被广泛研究的重要算子.利用Marcinkiewicz积分算子μΩ与Lipschitz函数b生成的交换子μΩ,b在加权L~p空间上的有界性,研究了它在加权Morrey空间上的有界性.     

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.     

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.     

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

Let ? ∈ L~s(S~(n-1))(s1) 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.     

类奇异积分和交换子在广义Morrey空间上的有界性

The generalized Morrey spaces are introduced under the hypothesis that Rn is endowed with the general parabolic metric , and the boundedness properties are established in generalized Morrey spaces for a class of singular integral operators, which include Calderon-Zygmund singular integrals and their commutators with BMO.