List questions from lebesgue-measure

Published on 08 Apr 2026 - 21:44

421

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Inequality in measure theory

Published on 09 Apr 2026 - 17:55

212

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measure zero on a metric space

Published on 13 Apr 2026 - 14:13

697

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countable intersection of open set argument

Published on 14 Apr 2026 - 15:48

205

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Standard notation or name for the measure defined by an integral over a function

Published on 14 Apr 2026 - 15:05

355

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Boundary of the dense set

Published on 08 Apr 2026 - 17:11

654

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Lebesgue Measure Definition with uniform distribution

Published on 13 Apr 2026 - 1:28

1.2k

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Show that $M:=\{e^{-\alpha \mid x \mid}\varphi : \varphi \in C_c^\infty (\Bbb R^n)\}$ is dense in $\mathrm L ^2 (\Bbb R^n, \lambda ^n)$

Published on 17 Apr 2026 - 14:47

95

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Limit of ratio of two Radon measures

Published on 12 Apr 2026 - 2:10

251

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On the assumption that $f$ is $C^1$, prove that if $D=\{x:f'(x)=0\}$, then measure of $f(D)$ is 0.

Published on 15 Apr 2026 - 21:01

319

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Lebesgue measurability and a subgroup of $\mathbb{R}$

Published on 13 Apr 2026 - 22:35

71

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"Half"-linear real function

Published on 12 Apr 2026 - 20:27

1.3k

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Theorem 4.3 approximating measurable functions with step functions

Published on 15 Apr 2026 - 12:38

777

Views

Extension of Lusin's Theorem to the case that f is not necessarily real-valued, but may be finite a.e.

Published on 13 Apr 2026 - 1:07

162

Views

Why is Cantor step function not a counter example to Sard's Theorem

Published on 16 Apr 2026 - 18:20

List Question

An inequality in $L^p$ spaces

Inequality in measure theory

measure zero on a metric space

countable intersection of open set argument

Standard notation or name for the measure defined by an integral over a function

Boundary of the dense set

Lebesgue Measure Definition with uniform distribution

Show that $M:=\{e^{-\alpha \mid x \mid}\varphi : \varphi \in C_c^\infty (\Bbb R^n)\}$ is dense in $\mathrm L ^2 (\Bbb R^n, \lambda ^n)$

Limit of ratio of two Radon measures

On the assumption that $f$ is $C^1$, prove that if $D=\{x:f'(x)=0\}$, then measure of $f(D)$ is 0.

Lebesgue measurability and a subgroup of $\mathbb{R}$

"Half"-linear real function

Theorem 4.3 approximating measurable functions with step functions

Extension of Lusin's Theorem to the case that f is not necessarily real-valued, but may be finite a.e.

Why is Cantor step function not a counter example to Sard's Theorem

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