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Hardy littlewood算子

Web哈代-李特尔伍德极大算子m在调和分析中的重要作用在于它能在一定意义下控制许多算子。因此极大算子m在算子有界性的研究中起着十分重要的作用。 [1] WebFeb 23, 2024 · 关于中心 Hardy-Littlewood 极大算子的重要结论. 下文考虑了一维中心 Hardy-Littlewood 极大算子的弱(1,1)界型常数的估计,并给出了关于界型常数的一个猜测:. 作者猜想定理1中给出的下界就是C的准确值。. 一年以后,同一个人在《Annals of Mathematics》上发表了另一篇 ...

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Web我们考虑 Euclid 空间 Rd 上取值为 R 或 C 的函数, 并使用 Rd 上的 Lebesgue 测度. 但一些定义和结论可以推广到一般的 各向同性空间. 定义 1.1 (Hardy-Littlewood 极大函数). Rd … WebAug 3, 2014 · 建立了局部紧Vilenkin群上加幂权的Hardy-Littlewood-Sobolev定理,在此基础上得到了分数次积分算子在局部紧Vilenkin群上加幂权Herz型空间中若干有界性定理。 大数据-算法- Hardy 型不等式与NA群上可积 函数 的性质.pdf ctc form 66 https://productivefutures.org

Hardy-Littlewood Conjectures -- from Wolfram …

WebApr 23, 2024 · 加权Hardy- Littlewood平均算子的交换子在Herz型空间的有界性 (2010年) ... 研究了Littlewood-Paley算子交换子 ψ,b在加权Herz型Hardy空间上的性质,并证明了gψ,b在某些条件下是H α,pq(w1,w2)到 α,pq(w1,w2)和H α,pq(w1,w2)到W α,pq(w1,w2)上的有界算子. In mathematical analysis, the Hardy–Littlewood inequality, named after G. H. Hardy and John Edensor Littlewood, states that if and are nonnegative measurable real functions vanishing at infinity that are defined on -dimensional Euclidean space , then where and are the symmetric decreasing rearrangements of and , respectively. The decreasing rearrangement of is defined via the property that for all the two super-level sets WebMar 24, 2024 · The first of the Hardy-Littlewood conjectures. The k-tuple conjecture states that the asymptotic number of prime constellations can be computed explicitly. In particular, unless there is a trivial divisibility condition that stops p, p+a_1, ..., p+a_k from consisting of primes infinitely often, then such prime constellations will occur with an … earth-11 batman

Hardy–Littlewood 极大函数 - 香蕉空间

Category:多线性Hardy-Littlewood极大算子交换子的有界性

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Hardy littlewood算子

Hardy and Littlewood (Chapter 14) - Cambridge Scientific Minds

WebJun 5, 2024 · The Hardy–Littlewood theorem on a non-negative summable function. A theorem on integral properties of a certain function connected with the given one. It was … Web这两个定理则是研究算子的 L^{p} 有界性的关键定理,是整个调和分析的基础。 (2) Hardy—Littlewood Maximal Operator. 这个是一个相当重要的拟线性算子,利用 Vitali …

Hardy littlewood算子

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http://sxzz.whu.edu.cn/html/2024/3/20240309.htm WebHardy-Littlewood极大算子在调和分析领域中占据着重要地位,是最为基本的理论工具,在Lebesgue微分定理的证明、点态估计中有着广泛应用.本文主要分为两个部分,第一个部 …

Web1: 滑军丽;位势算子多线性交换子的加权不等式[D];河北师范大学;2009年 2: 王会敏;多线性位势型算子的加权不等式[D];河北师范大学;2009年 3: 齐金云;位势型算子的弱型加权不等 … Web由sup作用在算子族上可获得极大算子,最基本的是“Hardy-Littlewood Maximal Operator”,这里的算子族例子有很多, 比如在现代调和分析中,通过poisson核 P卷积 …

Web极大值函数. 1. Some Properties of a Smoothing Approximation for Maximum Function; 极大值函数的一类光滑逼近函数的性质研究. 2. By using entropy function of maximum function, we present an algorithm and give it s proof of convergence. 基于极大值函数的极大熵,给出求解半无限规划问题可行解的一个 ... WebSrinivasa Ramanujan. Stanley Skewes. Donald C. Spencer. Albert Ingham. John Edensor Littlewood FRS (9 June 1885 – 6 September 1977) was a British mathematician. He worked on topics relating to analysis, number theory, and differential equations, and had lengthy collaborations with G. H. Hardy, Srinivasa Ramanujan and Mary Cartwright .

Webthe hardy-littlewood partnership The mathematical collaboration of Godfrey Harold Hardy and John Edensor Littlewood is the most remarkable and successful partnership in mathematical history. From before the First World War until Hardy's death in 1947 these mathematical giants produced around one hundred joint papers of enormous influence ...

Web设μ是Rd上的Lebesgue测度,2008年Komori Y和Shirai S引入了加权Morrey空间,讨论了Hardy-Littlewood极大算子、Caldero赞n-Zygmund(C-Z)奇异积分算子和分数次积分算子等经典算子及交换子在加权Morrey空间上的有界性[1]。 ... 若Marcinkiewicz算子M是L2有界的,则M也是Lp,λ(σ,ω ... ctc form 990http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2024.353 earth 115 million years agoWebMar 15, 2016 · The collaboration between G.H. Hardy (1877-1947) and J.E. Littlewood (1885-1977) was the most productive in mathematical history. Dominating the English mathematical scene for the first half of the 20th century, they obtained results of great influence, most notably in analysis and number theory. Into their world came the brilliant … earth 11 batwomanhttp://www.yndxxb.ynu.edu.cn/yndxxbzrkxb/article/id/424 earth 1:1 minecraft mapWebIn fact, this is what Hardy and Littlewood did. 4. Generating functions a la Vinogradov We are going to do something slightly di erent, following a technical re nement due to Vinogradov: instead of using a power series generating function and in-tegrating over a circle, we use a trigonometric series and integrate over the line segment [0;1]. Set earth 11 flashWeb1: 滑军丽;位势算子多线性交换子的加权不等式[D];河北师范大学;2009年 2: 王会敏;多线性位势型算子的加权不等式[D];河北师范大学;2009年 3: 齐金云;位势型算子的弱型加权不等式[D];河北师范大学;2007年 4: 杨娟;非交换弱Orlicz空间上T-可测算子的Hardy-Littlewood极大函数的不等式[D];新疆大学;2011年 ctc for itin holdersWebSep 13, 2024 · The Hardy--Littlewood--Chowla conjecture in the presence of a Siegel zero. Terence Tao, Joni Teräväinen. Assuming that Siegel zeros exist, we prove a hybrid … earth-11 marvel