List questions from lebesgue-integral

Published on 26 Jul 2014 - 19:24

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Is Dirac's delta function well-defined at Lebesgue points?

Published on 01 Apr 2026 - 0:23

424

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Show that $\int_{\mathbb{R}^n}f_1f_2 ...f_n dx_1 ...dx_n ≤ (I_1 ...I_n)^{1/(n−1)}.$

Published on 27 Jul 2014 - 17:21

1.4k

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How to prove indicator function, step function, and then for sequences of step functions?

Published on 28 Jul 2014 - 9:43

198

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The set $E= \{x\in [0,1]: \sum_{j=1}^\infty t^j|x−q_j|^{-r} <\infty\}$ does not contain all irrational numbers in $[0,1]$

Published on 30 Mar 2026 - 9:51

211

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Gauge Integral: well defined?

Published on 28 Jul 2014 - 20:57

96

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A tricky integral with vanishing domain

Published on 29 Jul 2014 - 14:09

144

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Riemann implies Lebesgue integrablility on $\mathbb{R}^n$, prove $f(x)$ continuous at x where $g(x)=G(x)$

Published on 30 Jul 2014 - 14:18

80

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Gauge Integral: Non-Borel Spaces

Published on 25 Mar 2026 - 6:26

209

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Prove something is a signed measure

Published on 31 Jul 2014 - 9:33

2k

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Can someone provide an example of Lebesgue integration on ordinary functions?

Published on 01 Aug 2014 - 16:20

76

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can representatives of an equivalence class of L_1(r^d)be nonmeasurable

Published on 02 Aug 2014 - 1:50

152

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Calculate Radon-Nikodym derivative in a point when it is continuous in that point

Published on 02 Aug 2014 - 11:15

109

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Introduction of Lebesgue Theory

Published on 05 Aug 2014 - 3:55

88

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Absolute continuity and derivatives of integrals

Published on 06 Aug 2014 - 0:56

List Question

Passing of the limit for Lebesgue Integral (Proof Verification)

Is Dirac's delta function well-defined at Lebesgue points?

Show that $\int_{\mathbb{R}^n}f_1f_2 ...f_n dx_1 ...dx_n ≤ (I_1 ...I_n)^{1/(n−1)}.$

How to prove indicator function, step function, and then for sequences of step functions?

The set $E= \{x\in [0,1]: \sum_{j=1}^\infty t^j|x−q_j|^{-r} <\infty\}$ does not contain all irrational numbers in $[0,1]$

Gauge Integral: well defined?

A tricky integral with vanishing domain

Riemann implies Lebesgue integrablility on $\mathbb{R}^n$, prove $f(x)$ continuous at x where $g(x)=G(x)$

Gauge Integral: Non-Borel Spaces

Prove something is a signed measure

Can someone provide an example of Lebesgue integration on ordinary functions?

can representatives of an equivalence class of L_1(r^d)be nonmeasurable

Calculate Radon-Nikodym derivative in a point when it is continuous in that point

Introduction of Lebesgue Theory

Absolute continuity and derivatives of integrals

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