List questions from lebesgue-measure

Published on 28 Mar 2026 - 7:53

45

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$K\subseteq\Bbb R^n$ compact, $f:\Bbb R^n\rightarrow\Bbb R$ Lebesgue measurable then $\lim_{R\rightarrow +\infty}|\{x\in K:|f(x)|>R \}|=0$

Published on 16 Dec 2018 - 20:54

354

Views

Operator norm on Lebesgue integrable functions

Published on 28 Mar 2026 - 7:57

172

Views

Riemann integrable function implies discontinuous on a Borel set?

Published on 25 Mar 2026 - 12:15

122

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Lebesgue Measurable via open set

Published on 18 Dec 2018 - 20:19

2.8k

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L^2 convergence and pointwise convergence

Published on 28 Mar 2026 - 7:57

33

Views

cover of $\mathbb{R^n}$

Published on 19 Dec 2018 - 11:56

1k

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Proving DCT from Fatou's Lemma

Published on 28 Mar 2026 - 9:25

600

Views

If $A \times B$ is Lebesgue measurable in $\mathbb{R}^2$ and $B$ is Lebesgue measurable in $\mathbb{R}$ then $A$ is so?

Published on 20 Dec 2018 - 0:39

67

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Bochner integrability of mappings of Bochner integrable functions

Published on 20 Dec 2018 - 14:30

89

Views

Showing equivalence in a complex measure space

Published on 25 Mar 2026 - 6:00

112

Views

Lebesgue measure of a compact set and a line

Published on 20 Dec 2018 - 23:48

86

Views

Finding $F$ from a Lebesgue-Stieltjes Measure

Published on 21 Dec 2018 - 15:20

375

Views

Lebesgue Stieltjes measure unique for invariance on $\mathscr{B}_\mathbb{R}$

Published on 22 Dec 2018 - 19:09

611

Views

Does every set of positive measure contain an uncountable null set?

Published on 23 Dec 2018 - 2:18

List Question

$f \in L_1([0,1],m)$ such that $\int_0^1 f \sin (n^2x) \ dm= 1$

$K\subseteq\Bbb R^n$ compact, $f:\Bbb R^n\rightarrow\Bbb R$ Lebesgue measurable then $\lim_{R\rightarrow +\infty}|\{x\in K:|f(x)|>R \}|=0$

Operator norm on Lebesgue integrable functions

Riemann integrable function implies discontinuous on a Borel set?

Lebesgue Measurable via open set

L^2 convergence and pointwise convergence

cover of $\mathbb{R^n}$

Proving DCT from Fatou's Lemma

If $A \times B$ is Lebesgue measurable in $\mathbb{R}^2$ and $B$ is Lebesgue measurable in $\mathbb{R}$ then $A$ is so?

Bochner integrability of mappings of Bochner integrable functions

Showing equivalence in a complex measure space

Lebesgue measure of a compact set and a line

Finding $F$ from a Lebesgue-Stieltjes Measure

Lebesgue Stieltjes measure unique for invariance on $\mathscr{B}_\mathbb{R}$

Does every set of positive measure contain an uncountable null set?

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