THE LEBESGUE DIFFERENTIATION THEOREM VIA NONOVERLAPPING INTERVAL COVERS

John W. Hagood

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THE LEBESGUE DIFFERENTIATION THEOREM VIA NONOVERLAPPING INTERVAL COVERS

机译：勒贝格微分定理的非重叠区间

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摘要

A short proof is given for the Lebesgue Differentiation Theorem using a variation of the Heine-Borel covering property, without reliance on sophisticated approaches such as Vitali covers and the rising sun lemma.

机译：对于勒贝格微分定理，使用Heine-Borel覆盖属性的一种变化给出了简短的证明，而无需依赖诸如Vitali覆盖和升起的太阳引理之类的复杂方法。

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来源
《Real analysis exchange》 |2004年第2期|p.953-956|共4页
作者
John W. Hagood;
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作者单位

Department of Mathematics and Statistics, Northern Arizona University, PO Box 5717, Flagstaff, AZ 86011-5717, USA;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
lebesgue differentiation theorem; interval cover; monotone function;

机译：勒贝格微分定理;区间覆盖;单调函数;

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机译：R.I.拟Banach空间和Lorentz空间的Lebesgue微分定理Γp，w
2. The Lebesgue differentiation theorem revisited [J] . Dubon E., San Antolin A. Expositiones mathematicae . 2019,第3期

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3. Norms supporting the Lebesgue differentiation theorem [J] . Cavaliere Paola, Cianchi Andrea, Pick Lubos, Communications in contemporary mathematics . 2018,第1期

机译：标准支持Lebesgue差异化定理
4. Separator Theorems for Interval Graphs and Proper Interval Graphs [C] . B.S. Panda International conference on algorithms and discrete applied mathematics . 2015

机译：间隔图和适当间隔图的定理
5. A Green's theorem in terms of Lebesgue integrals [D] . Bray, H. E. -1

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6. On the Most General Class L of Fréchet in which the Heine-Borel-Lebesgue Theorem Holds True [O] . Robert L. Moore 1919

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7. Lebesgue's Differentiation Theorems in R.I. Quasi-Banach Spaces and Lorentz SpacesΓp,w [O] . Maciej Ciesielski, Anna Kamińska 2012

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8. Symbol lock detection implemented with nonoverlapping integration intervals [R] . 1995

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THE LEBESGUE DIFFERENTIATION THEOREM VIA NONOVERLAPPING INTERVAL COVERS

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