一类带有变量核的积分算子在Herz型Hardy空间的有界性

本文研究了带有变量核的奇异积分与分数次积分算子.当核函数满足一类Dini型条件时,证明了这类算子从Herz型Hardy空间到Herz空间的有界性.     

具有变量核Marcinkiewicz积分交换子的CBMO估计

本文讨论了当b∈CBMO_q(R~n)时,具有变量核的Marcinkiewicz积分交换子μ_(Ω,b)在Herz空间和Herz型Hardy空间中的有界性.     

具有齐性核的Marcinkiewicz积分在Herz型Hardy空间的有界性

本文讨论了具有齐性核的Marcinkiewicz积分μΩ在Herz型Hardy空间的有界性,证明了μΩ是从HKqa,p(Rn)到Kqa,p(Rn)有界的.     

具有齐性核的Marcinkiewicz积分在Herz型Hardy空间的有界性

本文讨论了具有齐性核的Marcinkiewicz积分μΩ在Herz型Hardy空间的有界性,证明了μΩ是从HKqα,p(Rn)到Kqα,p(Rn)有界的.     

分数次积分交换子在加权Herz型Hardy空间上的有界性质

本文研究了由分数次积分I_l与加权Lipschitz函数b生成的交换子[b,I_l]在加权Herz型Hardy空间上的估计.利用加权Herz型Hardy空间的分解理论,得到了交换子[b,I_l]从加权Herz型Hardy空间到(弱)加权Herz空间上的有界性质.     

奇异积分交换子在加权Herz型Hardy空间上的有界性质

T_b表示由加权Lipschitz函数b与Calderon-Zygmund奇异积分算子T生成的交换子.研究了T_b在加权Herz型Hardy空间上的有界性质,并在端点处证明了交换子是从加权Herz型Hardy空间到加权弱Herz空间的有界算子.     

关于Marcinkiewicz积分交换子的一点注记

本文研究了由带有粗糙核的Marcinkiewicz积分与BMO函数生成的高阶交换了.通过截断算子,得到了这类交换子在齐次Herz空间上的有界性.     

带有齐性核的分数次积分算子在Hardy型空间上的有界性

该文研究了带有齐性核的分数次积分算子T_(Ω,α)在一些Hardy空间上的映射性质,其中核Ω在球面S~(n-1)上满足一些L~S-Dini条件.作者将前人的一些结果改进到0αn情形,同时还得到了算子T_(Ω,α)在Herz型Hardy空间上的一个端点估计.     

带有加权Lipschitz函数的交换子的有界性

研究了由加权Lipschitz函数b和Calderón-Zygmund奇异积分算子T生成的交换子Tb在一些加权空间上的有界性,涉及到加权Hardy空间,加权Herz空间及和加权Herz型Hardy空间.同时也得到了其相应的端点估计.     

具有齐性核Marcinkiewicz积分高阶交换子在Herz型Hardy空间中的有界性

讨论了一类具有齐性核的Marcinkiewicz积分高阶交换子在Herz型Hardy空间中的有界性,并得到了其端点估计．     

LIPSCHITZ ESTIMATES FOR MULTILINEAR SINGULAR INTEGRALS,Ⅱ

In this paper, the authors study two classes of multilinear singular integrals and obtain their boundedness from Lebesgue spaces to Lipschitz spaces and from Herz type spaces to central Campanato spaces. Moreover, the authors also consider the extreme cases.     

LIPSCHITZ ESTIMATES FOR MULTILINEAR SINGULAR INTEGRALS,II

In this paper, the authors study two classes of multilinear singular integrals and obtain their boundedness from Lebesgue spaces to Lipschitz spaces and from Herz type spaces to central Campanato spaces. Moreover, the authors also consider the extreme cases.     

p-进中心函数空间及奇异积分算子

引入了几类p-中心函数空间,包括p进A~q和B~q空间、p进λ-中心BMO空间以及p-进中心Morrey空间,得到了p-进A~q空间与B~q空间的对偶性、p-进λ-中心BMO空间和中心Morrey空间的特征,研究了这些空间与加权p-进Lebesgue空间之间的关系.另外,还建立了一类奇异积分算子在p-进中心Morrey空间中的有界性,更进一步,得到了这类算子交换子在p-进中心Morrey空间中的λ-中心BMO估计.     

Intrinsic Square Function Characterizations of Several Hardy-Type Spaces — A Survey

In this article, the authors give a survey about the recent developments of intrinsic square function characterizations and their applications on several Hardy-type spaces, including (weak) Musielak-Orlicz Hardy spaces, variable (weak) Hardy spaces, and Hardy spaces associated with ball quasi-Banach function spaces. The authors also present some open problems.     

APPLICATIONS OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES

In this paper, the authors first establish the connections between the Herz-type Triebel-Lizorkin spaces and the well-known Herz-type spaces; the authors then studythe pointwise multipliers for the Herz-type Triebel-Lizorkin spaces and show that pseudo-differential operators are bounded on these spaces by using pointwise multipliers.     

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.     

Variable Exponent Herz Type Hardy Spaces and Their Applications

In this paper,the authors introduce certain Herz type Hardy spaces with variable exponents and establish the characterizations of these spaces in terms of atomic and molecular decompositions. Using these decompositions,the authors obtain the boundedness of some singular integral operators on the Herz type Hardy spaces with variable exponents.     

乘子交换子的有界性

本文研究了乘子与Lipschitz函数生成的交换子,建立了这类交换子在Lebesgue空间与Hardy空间中的有界性．     

Anisotropic weak Hardy spaces and interpolation theorems

In this paper, the authors establish the anisotropic weak Hardy spaces associated with very general discrete groups of dilations. Moreover, the atomic decomposition theorem of the anisotropic weak Hardy spaces is also given. As some applications of the above results, the authors prove some interpolation theorems and obtain the boundedness of the singular integral operators on these Hardy spaces.     

Hausdorff Operators on Function Spaces

The authors mainly study the Hausdorff operators on Euclidean space Rn.They establish boundedness of the Hausdorff operators in various function spaces,such as Lebesgue spaces,Hardy spaces,local Hardy ...