各向异性函数空间上的多线性算子的估计及其应用

设A是Rn上的各向异性伸缩, L是由各向异性Calderón-Zygmund算子生成的一般的多线性算子.本文得到L从加权Lebesgue空间Lwp(Rn)到无权的各向异性Hardy空间HAp (Rn)的有界性.另外,对各向异性Hardy空间H1(Rn)和加权各向异性BMO空间BMOAw(Rn)得到包含关系:BMOAw(Rn)■(H1A(Rn))*.作为应用,对加权各向异性BMO函数b和各向异性Calderón-Zygmund算子T生成的交换子[T, b],得到‖[T, b](f)‖Lwp(Rn)C‖b‖BMOwA(Rn)‖f‖Lpw(Rn).以上所有结果在经典的各向齐性情形下也是新的.     

非双倍测度下的Marcinkiewicz积分的加权估计

Let μ be a nonnegative Radon measure on R d which satisfies the growth condition μ(B(x,r)) ≤ C0rn for all x ∈Rd and r >0,where C0 is a fixed constant and 0相似文献   

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.     

A NOTE ON H-w~p-BOUNDEDNESS OF RIESZ TRANSFORMS AND θ-CALDERóN-ZYGMUND OPERATORS THROUGH MOLECULAR CHARACTERIZATION

Let 0 p ≤ 1 and w in the Muckenhoupt class A1. Recently, by using the weighted atomic decomposition and molecular characterization, Lee, Lin and Yang[11] es- tablished that the Riesz transforms Rj, j = 1,2,··· ,n, are bounded on Hwp(Rn). In this note we extend this to the general case of weight w in the Muckenhoupt class A∞ through molec- ular characterization. One difficulty, which has not been taken care in [11], consists in passing from atoms to all functions in Hwp(Rn). Furthermore, the Hwp-boundedness of θ- Calderón-Zygmund operators are also given through molecular characterization and atomic decomposition.     

WAVELET CHARACTERIZATION OF WEIGHTED TRIEBEL－LIZORKIN SPACES

In this paper we use wavelets to characterize weighted Triebel-Lizorkin spaces,Our weights belong to the Muckenhoupt class Aq and our weighted Triebel-Lizorkin spaces are weighted atomic Triebel-Lizorkin spaces.     

Multilinear Fractional Integrals and Commutators on Generalized Herz Spaces

Suppose b =(b_1, ···, b_m) ∈(BMO)~m, I_(α,m)~(Πb) is the iterated commutator of b and the m-linear multilinear fractional integral operator I_(α,m). The purpose of this paper is to discuss the boundedness properties of I_(α,m) and I_(α,m)~(Πb) on generalized Herz spaces with general Muckenhoupt weights.     

关于变指数加权Sobolev空间的拟连续性

本文给出了一些关于变指数加权Sobolev空间拟连续性的精确刻画. 进而在拟连续的意义下得到变指数加权Sobolev空间唯一性结果.     

加权的Hardy空间和面积积分的加权模不等式

本文建立了具有高阶消失矩的加权的原子Ｈａｒｄｙ空间，证明了０＜Ｐ＜＝１时面积积分的双向加权模不等式。     

Boundedness of Vector Valued Bilinear Calder´onZygmund Operators on Products of Weighted Herz-Morrey Spaces with Variable Exponents*

In this paper, the authors obtain the boundedness of vector valued bilinear Calder′on-Zygmund operators on products of weighted Herz-Morrey spaces with variable exponents.     

关于哈代空间上Calderón-Zygmund分解的一些思考

证明了与不同伸缩相关的加权Hardy空间的Calderón-Zygmund分解,结果推广了已有的结果.