Hardy littlewood算子

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August undefined, 2024

Web本文将主要考虑Hardy-Littlewood平均算子在Fp,qs,t(Rn)空间的有界性、Fp,qs,t(Rn)空间的一些性质的刻画以及加权Hardy-Littlewood平均算子与Lipschitz函数生成的交换子在Morrey空间的有界性。首先在第一章中着重介绍函数空间的发展以及最新的研究成果,然后再阐述相关的研究 ... http://www.yndxxb.ynu.edu.cn/yndxxbzrkxb/article/id/424

乘法算子的Herz型Sobolev范数估计(2010年)资源-CSDN文库

http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2024.353 WebIn 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 chris terrell weight loss

ハーディ＝リトルウッドの極大函数 - Wikipedia

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. 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] george crafton scholarship

多线性Hardy-Littlewood极大算子交换子的有界性

http://sxzz.whu.edu.cn/html/2024/3/20240309.htm WebThis article includes a list of general references, but it lacks sufficient corresponding inline citations. (April 2012) In mathematics, the Hardy-Ramanujan-Littlewood circle method is a technique of analytic number theory. It is named for G. H. Hardy, S. Ramanujan, and J. E. Littlewood, who developed it in a series of papers on Waring's problem . george craft winsteadWebSrinivasa 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 . christer rigagatan

"WebDec 7, 2015 · In words, it means that the maximal function is not much larger than $ f $. (Stein and Shakarchi Real Analysis p.101). The lefthand side is the measure of the set of values at which the maximal function is larger than a particular real number. " - Hardy littlewood算子

Hardy littlewood算子

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 … WebMar 8, 2024 · 定义在上的一个局部可积函数的Hady-Littlewood 极大函数为（1.3）有时，我们用立方体代替球体来定义极大函数。. 若是立方体，定义：（1.4）当，与一致；若则存在常数和，只与有关，这样（1.5）由不等式（1.5）可知，两个算子与基本可以互换，根 …

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Web然而，关于Hardy-Littlewood最大值不等式中最佳常数C的估计更具有理论意义。本文主要研究了以下三个问题。首先，引入洛仑兹空间L(p,q)，得到L(p，q)空间中的Hardy … WebApr 23, 2024 · They are just hidden behind the Hardy-Littlewood maximal estimate $\lVert Mf\rVert_p\le C \lVert f\rVert_p$, which indeed is proven via the interpolation theorem of Marcinkiewicz. Share. Cite. Follow edited Oct 12, 2024 at 17:44. answered Mar 7, 2024 at 13:46. Giuseppe ...

WebThe Hardy-Littlewood maximal inequality Let us work in Euclidean space Rd with Lebesgue measure; we write E instead of µ(E) for the Lebesgue measure of a set E. For any x ∈ Rd and r > 0 let B(x,r) := {y ∈ Rd: x − y < r} … http://www.dictall.com/indu/222/22190762A30.htm

Web内容简介 · · · · · ·. 本书分为基础知识、Fourier变换、Schwartz函数和缓增广义函数、调和函数、奇异积分算子、小波分析初步共6章。. 此次改版主要是在在原书第二版基础上进行修订，主要有 1.适当补充一点内容以反映某些新成果； 2.修订原书中某些叙述不够 ... 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 ...

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 …

WebChelsea, London, England. Occupation (s) Actor, writer. Years active. 1958–1991. Harry Littlewood (23 May 1921 – 26 December 2003) was an English actor who has appeared … chris terrill homeadvisorWeb博资考用调和分析笔记: Littlewood-Paley 理论. 这则笔记为准备我的博士生资格考试而作, 内容是 Littlewood-Paley 理论. 如果以后要讲调和分析导引类的课程, 也可能会用得上. 发到这里一来可以存档, 二来可以共享. [Gra1] Grafakos L., Classical … george craft winchester urogynecologyWeb调和分析讲义007---Hardy-Littlewood极大函数. p dx ,证毕. 注.我们证明了弱 1,1 型+ , 型的算子一定是 p, p 型的,1 p . . 连续性, x : mf x s 是开集;故 mf 为可测函数. 使得 S Qk ,且 Qk 2n . 证. S 有界,故不妨设 l0 sup r x ,取 Q1 Q x1, r x1 ,使得 r x1 3 4l0 , xS. 上限不超过 2n ,证毕. chris terrill linkedin