List questions from lebesgue-integral

Published on 23 Mar 2026 - 7:14

454

Views

Proof $\frac{\sin x}{\sqrt{x}}$ is not Lebesgue integrable

Published on 17 May 2019 - 3:04

29

Views

Some help with a measure-theoretic integration problem.

Published on 17 May 2019 - 16:35

68

Views

Prove that $\int_a^b[\int_Xf(x,t)d\mu(x)]dt=\int_X[\int_a^b f(x,t)dt]d\mu(x)$

Published on 17 May 2019 - 17:22

484

Views

Why can simple functions not take the value $\infty$?

Published on 25 Mar 2026 - 18:52

438

Views

If $f_n \to f$ in $L^p$ and $g_n \xrightarrow{a.e.} g$ in $L^\infty$ then $f_ng_n \to fg$ in $L^p$

Published on 18 May 2019 - 10:04

359

Views

Grothendieck's lemma in $L^p$ spaces

Published on 29 Mar 2026 - 11:07

271

Views

Understanding the relation between the dominated convergence theorem and uniform convergence

Published on 19 May 2019 - 16:34

93

Views

What is $\int_0 ^1 \int_x^1 \frac{f(t)}{t} \text dt \text dx $ if $\int f =1$?

Published on 19 May 2019 - 20:48

96

Views

Convergence in measure on a finite and infinite measure space

Published on 20 May 2019 - 16:25

94

Views

Let $f\in \mathscr{L}^1$. Show that for every $\epsilon$ there exists a continuous function $g$ such that $\int_X |f-g|d\mu < \epsilon$.

Published on 21 May 2019 - 6:14

87

Views

Is the Lebesgue integral equal to the Lebesgue measure of the enclosed region?

Published on 22 May 2019 - 5:39

93

Views

Find the norm of this operator

Published on 27 Mar 2026 - 10:09

41

Views

How do I solve the volume bounded inside a solid

Published on 23 May 2019 - 8:07

195

Views

Anisotropic perimeter as derivative of measures.

Published on 25 Mar 2026 - 11:02

List Question

Is the dominated convergence theorem applicable whenever "THIS" theoem is applicable?

Proof $\frac{\sin x}{\sqrt{x}}$ is not Lebesgue integrable

Some help with a measure-theoretic integration problem.

Prove that $\int_a^b[\int_Xf(x,t)d\mu(x)]dt=\int_X[\int_a^b f(x,t)dt]d\mu(x)$

Why can simple functions not take the value $\infty$?

If $f_n \to f$ in $L^p$ and $g_n \xrightarrow{a.e.} g$ in $L^\infty$ then $f_ng_n \to fg$ in $L^p$

Grothendieck's lemma in $L^p$ spaces

Understanding the relation between the dominated convergence theorem and uniform convergence

What is $\int_0 ^1 \int_x^1 \frac{f(t)}{t} \text dt \text dx $ if $\int f =1$?

Convergence in measure on a finite and infinite measure space

Let $f\in \mathscr{L}^1$. Show that for every $\epsilon$ there exists a continuous function $g$ such that $\int_X |f-g|d\mu < \epsilon$.

Is the Lebesgue integral equal to the Lebesgue measure of the enclosed region?

Find the norm of this operator

How do I solve the volume bounded inside a solid

Anisotropic perimeter as derivative of measures.

Trending Questions

Popular # Hahtags

Popular Questions