【摘 要】
：
In a recent paper,A.Naor and T.Tao have introduced a new class of measures with a so-called micro-doubling property.Using martingale theory and probability meth
【机 构】
：
UniversidadAutónomadeMadrid
【出 处】
：
Harmonic Analysis and Applications(2014调和分析及其应用学术会议)
论文部分内容阅读
In a recent paper,A.Naor and T.Tao have introduced a new class of measures with a so-called micro-doubling property.Using martingale theory and probability methods,they are able to prove a localization theorem for the associated maximal functions.As a consequence they obtain a weak type estimate in a general abstract setting for these maximal functions that is reminiscent of the n log n result of Stein and Stromberg in Euclidean spaces.The purpose of this talk is twofold.First we introduce a new localization principle that localizes not only in the time-dilation parameter but also in space.The proof uses standard covering lemmas and selection processes.Second,we show that a uniform condition for micro-doubling in the Euclidean spaces provides indeed dimension free estimates for their maximal functions in all Lp with p ＞ 1.This is done introducing a new technique that allows to differentiate through dimensions.
其他文献
我们研究了欧氏空间Rn+1 中单位球B 上的分数次Carleson 测度,提供了各种定义形式及其刻画,并应用于刻画B 上的一类面积积分算子、Q 空间以及Morrey 空间,把很多复圆盘及上半
黄河流域河南段流经河南省21个县市,是黄河中下游重要的一段,是中华文明的发源地,同样也是我国重要的粮食产区。该区域从东向西,从平原经丘陵到山地形成了一个连续变化的环境
该言语对这两类反应器作了深入详尽的对比分析.根据流态化的两相流理论,建立了MTC/TEC挡板流化床反应器与Hoechst/Uhde自由床反应器的数学模型,并进行了模拟计算,得出了各反
In this presentation,a variational free boundary problem of phase transition for the p-Laplace equation will be introduced,for 1 ＜ p ＜ ∞.The existence of a minim
In this report,we establish best constants for several type of Moser-Trudinger inequalities on hyperbolic spaces.These include sharp constants for the Moser-Tru
在南方红豆杉悬浮培养过程中,以真菌诱导为主要策略,在对真菌诱导子进行筛选以及对诱导剂量进行优化的基础上,研究了在指数生长末期加入真菌诱导子(Fusarium oxysporum)对细
随着计算机网络技术的快速发展,将计算机网络技术引入中职课程教学已经成为中职学校的教育热点.本文分析了“现代学徒制”模式中“交替式学习”存在的问题,并以数字媒体专业
This paper establishes boundary estimates for solutions to the parabolic Monge-Ampere equation-ut +(detD2u)1/n = f(x,t).
Recently,it has been shown that the unimodular Fourier multipliers eit|△α/2 are bounded on all modulation spaces.In this talk,we give the asymptotic estimates
In this talk I will give some estimates in Hardy and BMO space for solutions to the initial value problems of heat equations.Combined with Coifmann-Lions-Meyer-