List questions from lebesgue-integral

Published on 19 Dec 2018 - 19:16

1k

Views

Proving DCT from Fatou's Lemma

Published on 19 Dec 2018 - 22:34

42

Views

Extreme points of bounded measurable functions with bounded $\ell_2$ norm

Published on 25 Mar 2026 - 8:09

89

Views

Showing equivalence in a complex measure space

Published on 25 Mar 2026 - 6:00

81

Views

A question in n-dimensional Lebesgue integral

Published on 23 Dec 2018 - 0:25

169

Views

$\int_{0}^{\infty}\frac{\sin(x)}{x}dx$ exists, but $\int_{\mathbb{R^+}}\frac{\sin(x)}{x}d\lambda$ doesn't exist?

Published on 23 Dec 2018 - 7:15

30

Views

simultanious convergence of integral norms

Published on 23 Dec 2018 - 21:40

62

Views

Application of DCT, integrability on $[0,\infty)$

Published on 23 Dec 2018 - 22:14

64

Views

An Application of Convergence theorem

Published on 24 Dec 2018 - 19:44

272

Views

Prove Lebesgue integrability

Published on 25 Dec 2018 - 16:17

55

Views

Prove $\int_Rfg\,dm\leq\|f\|_p^{1-p/r}\|g\|_p^{1-q/r}(\int_Rf^pg^q\,dm)^{1/r}$, where $1\leq p\leq\infty$ and $\frac1{r}=\frac1{p}+\frac1{q}-1$

Published on 25 Mar 2026 - 4:59

129

Views

Use Fubini's Theorem to calculate the integral $\int_{0}^{\pi/2}\int_{y}^{\pi/2}y\frac{sin x}{x}dx dy$

Published on 29 Dec 2018 - 1:04

73

Views

$g_n = \max \{\min (f_n, g), -g\} \to f$

Published on 23 Feb 2026 - 12:07

61

Views

showing that $\|f\|_1=\sup \{\int_{[a,b]}\tau(x)dx \mid \tau \text{ step function and } \tau\le f\} $

Published on 23 Feb 2026 - 4:24

36

Views

Is this statement sufficient?

Published on 26 Mar 2026 - 19:03

List Question

$X\in L^2$ implies $Y:=(X-E[X])^2 \in L^1$

Proving DCT from Fatou's Lemma

Extreme points of bounded measurable functions with bounded $\ell_2$ norm

Showing equivalence in a complex measure space

A question in n-dimensional Lebesgue integral

$\int_{0}^{\infty}\frac{\sin(x)}{x}dx$ exists, but $\int_{\mathbb{R^+}}\frac{\sin(x)}{x}d\lambda$ doesn't exist?

simultanious convergence of integral norms

Application of DCT, integrability on $[0,\infty)$

An Application of Convergence theorem

Prove Lebesgue integrability

Prove $\int_Rfg\,dm\leq\|f\|_p^{1-p/r}\|g\|_p^{1-q/r}(\int_Rf^pg^q\,dm)^{1/r}$, where $1\leq p\leq\infty$ and $\frac1{r}=\frac1{p}+\frac1{q}-1$

Use Fubini's Theorem to calculate the integral $\int_{0}^{\pi/2}\int_{y}^{\pi/2}y\frac{sin x}{x}dx dy$

$g_n = \max \{\min (f_n, g), -g\} \to f$

showing that $\|f\|_1=\sup \{\int_{[a,b]}\tau(x)dx \mid \tau \text{ step function and } \tau\le f\} $

Is this statement sufficient?

Trending Questions

Popular # Hahtags

Popular Questions