2. 您的位置
3. 首页
4. 期刊论文
5. Lp(Rm × Rn) boundedness for the Marcinkiewicz integral on product spaces

Lp(Rm × Rn) boundedness for the Marcinkiewicz integral on product spaces

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：ksh0323

【摘 要】

：

Lp(Rm × Rn) boundedness is considered for the multiple Marcinkiewicz integral. Some sizeconditions implying the Lp(Rm × Rn) boundedness of the multipl

【作 者】

：

胡国恩 陆善镇 燕敦验 

【机 构】

：

DepartmentofAppliedMathematics

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2003年1期

【关键词】

：

multiple MARCINKIEWICZ integral FOURIER TRANSFORM estimate LITTLEWOOD-PALEY th 

【基金项目】

：

国家重点基础研究发展计划(973计划)，Prof. Xu Yuesheng's research grant in the program of "One Hundred Distinguished YoungScientists" of the Chinese Academy of Sciences

下载到本地 , 更方便阅读

下载此文 赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

Lp(Rm × Rn) boundedness is considered for the multiple Marcinkiewicz integral. Some sizeconditions implying the Lp(Rm × Rn) boundedness of the multiple Marcinkiewicz integral for some fixed1 ＜ p ＜∞ are obtained.

其他文献

Distribution of magnetic shear angle at the ascending phase of CYCLE 23

Using the vector magnetograms observed at Huairou Solar Observing Station of National Astronomical Observatories, the magnetic shear angles of solar active regi

期刊

SOLARactivityMAGNETICSHEARangles.solar activity magnetic shear angles.

Compact composition operators on the Bloch space in polydiscs

Let Un be the unit polydisc of Cn and =(1,…n) a holomorphicself-map of Un. As the main result of the paper, it shows that the composition operator Cφ is comp

期刊

Bloch空间POLYDISC作文操作员BergmanmerticBloch space polydisc composition operator

Extension of Floquet's theory to nonlinear quasiperiodic differential equations

In this paper, we consider the following autonomous system of differential equations:(x) = Ax + f(x, θ), (θ) = ω,where θ∈ Rm, ω = (ω1,...,ωm) ∈ Rm, x

期刊

QUASIPERIODICsystemnormalform.quasiperiodic system normal form.

Bayesian inference and life testing plans for generalized exponential distribution

Recently generalized exponential distribution has received considerable attentions.In this paper,we deal with the Bayesian inference of the unknown parameters o

期刊

shapePARAMETERscalePARAMETERMARKOVChainMonteCarloIMPORTANCESam-plingFI

The combinatorial construction for a class of optimal optical orthogonal codes

Optical orthogonal code (OOC) has good correlation properties. It has many important appli-cations in a fiber-optic code-division multiple access channel. In th

期刊

CODE-DIVISIONmultipleaccessopticalORTHOGONALcodescombinatorialconstruct

Totally geodesic submanifolds of maximal rank in symmetric spaces

We gave a complete list of totally geodesic submanifolds of maximal rank in symmetric spaces of noncompact type. The compact cases can be obtained by the dualit

期刊

totallyGEODESICsubmanifoldLIETRIPLEsystemMAXIMALrank.totally geodesic

On a problem of Skiba from the Kourovka Notebook

In this paper, we give a positive answer to a recent open problem of Skiba in Kourovka Notebook without using the odd order theorem and other deep theorems. Som

期刊

SUPERSOLVABLEgroupc-supplementedsubgroupcomplementedsubgroupGENERALIZED

Comparison of fractal measures

In this paper, the relationship between the s-dimensional Hausdorff measures and the g-measures in Rd is discussed, where g is a gauge function which is equival

期刊

GAUGEfunctionHausdorffmeasurecentralHAUSDORFFmeasurepacingMEASUREgauge

Variational methods for the choreography solution to the three-body problem

In this paper, we give a short proof for the existence of nontrivial choreography solution to the equal-mass three-body problem, which is discovered by Chencine

期刊

THREE-BODYproblemCHOREOGRAPHYsolutionVARIATIONALmethod.three-body proble

Lu Qi-Keng conjectue and Hua domain

The first part of this paper discusses the motivation for the Lu Qi-Keng conjecture and the results about the presence or the absence of zeroes of the Bergman k

期刊

LUQi-KengCONJECTUREzeroesoftheBERGMANkernelfunctionHuaDOMAINSEinstein