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.

分数次积分在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Herz型Hardy空间的有界性 ;在一定的条件下 ,证明了TΩ ,μ 是从H Kα ,p1q1(Rn)到 Kα,p2q2 (Rn)或H Kα ,p2q2 (Rn)有界的 .

一类参数型Marcinkiewicz积分的有界性

讨论了一类具有变量核的参数型Marcinkiewicz积分的有界性,证明了当此类Marcinkiewicz积分满足Dinni型条件时,它在Herz型Hardy空间中是有界的.

齐次Morrey-Herz空间上的参数型Marcinkiewicz积分

本文证明了参数型Marcinkiewicz积分μΩρ是齐次Morrey-Herz空间M Kp,qα,λ(Rn)上的有界性算子.

Multilinear singular and fractional integrals on weighted Hardy spaces

In this paper the boundedness properties of multilinear singular and fractional integrals on the weighted Hardy spaces are studied.

BOUNDEDNESS OF MARCINKIEWICZ INTEGRAL ON THE WEIGHTED HERZ-TYPE HARDY SPACES

In this paper, we discuss the boundedness of Marcinkiewicz integral μΩ with homogeneous kernel on the weighted Herz-type Hardy spaces, and prove that μΩ is bounded from HKq^a、P（ω1;ω2） into Kq^a、p （ω1; ω2）.

Marcinkiewicz积分交换子的加权有界性(英文)

本文应用加权Hardy空间H_ω~p(R^n)上的原子分解理论,研究了由函数b∈Λβ(R^n)(0<β≤1)与Marcinkiewicz积分μ_Ω生成的交换子μ_Ω~b的有界性;证明了μ_Ω~b是从L^q(ω~q)到L^q(ω~q)有界的,从L^1(|x|γ(n-β)/n)到弱L(n/n-β)(|x|~γ)有界的,且从H^p(ω~p)到L^q(ω~q)有界的,这里1/p-1/q=β/n.

齐次分数次积分算子在变指标函数空间上的有界性

本文得到了齐次分数次积分算子在变指标Lebesgue空间、变指标Hardy空间和变指标Herz型Hardy空间上的一些有界性结果.

Continuity of Higher Order Commutators on Certain Hardy Spaces

In this paper.the authors study the continuity properties of higher order commutators generated by the homogeneous fractional integral and BMO functions on certain Hardy spaces,weak Hardy spaces and Herz-type Hardy spaces.