In mathematical analysis, the Hardy–Littlewood inequality, named after G. H. Hardy and John Edensor Littlewood, states that if $${\displaystyle f}$$ and $${\displaystyle g}$$ are nonnegative measurable real functions vanishing at infinity that are defined on $${\displaystyle n}$$-dimensional … See more The layer cake representation allows us to write the general functions $${\displaystyle f}$$ and $${\displaystyle g}$$ in the form $${\displaystyle f(x)=\int _{0}^{\infty }\chi _{f(x)>r}\,dr\quad }$$ and where See more • Rearrangement inequality • Chebyshev's sum inequality • Lorentz space See more Web接下来我们就来介绍 Hardy-Littlewood 极大函数。 回忆一下 6.1 节 Definition 6.3 中关于可积函数的定义，我们会记作 f \in L^1 ( L^p 空间是后面章节的内容)，如果是在 \mathbb …

Hardy-Littlewood-Sobolevの不等式 - はむ。日記

http://www.tushu007.com/ISBN-9787115188021.html WebMar 24, 2024 · References Broadbent, T. A. A. "A Proof of Hardy's Convergence Theorem." J. London Math. Soc. 3, 232-243, 1928.Elliot, E. B. "A Simple Exposition of Some … family medicine flagstaff

ハーディ＝リトルウッドの極大函数 - Wikipedia

http://www.math.utoronto.ca/almut/rearrange.pdf WebNov 28, 2014 · There is a direct and self-contained proof of HLS inequality in Analysis by Lieb and Loss, Theorem 4.3.It uses nothing but layer cake representation, Hölder's … Web本书是由Hardy、Littlewood和Pólya合著的一部经典之作。作者详尽地讨论了分析中常用的一些不等式, 涉及初等平均值、任意函数的平均值和凸函数理论、微积分的各种应用、无穷级数、积分、变分法的一些应用、关于双线性形式和多线性形式的一些定理、Hilbert不 ... cool easy things to paint