Question

If $0\leq f_{n}\leq g_{n}$, $f_{n}\longrightarrow f$, $g_{n}\longrightarrow g$, $\int_{0}^{1}g{n}\longrightarrow \int_{0}^{1}g$, then so is $f_{n}$.

score 73 · Answer 1 · 2026-02-25 21:23:11

73

Views

If $0\leq f_{n}\leq g_{n}$, $f_{n}\longrightarrow f$, $g_{n}\longrightarrow g$, $\int_{0}^{1}g{n}\longrightarrow \int_{0}^{1}g$, then so is $f_{n}$.

Published on 25 Feb 2026 - 21:23

score 35 · Answer 2 · 2020-10-08 19:11:59

35

Views

Question related to a sigma-field generated by a $\overline{\pi}-system$

Published on 08 Oct 2020 - 19:11

score 79 · Answer 3 · 2020-10-11 02:29:04

79

Views

Differences between $X$, $\mathbb{E}(X)$ and $\mathbb{E}(X\mid\mathcal{F})$?

Published on 11 Oct 2020 - 2:29

score 107 · Answer 4 · 2020-10-13 22:39:25

107

Views

A question regarding the conclusion of Egoroff's Theorem

Published on 13 Oct 2020 - 22:39

score 35 · Answer 5 · 2020-10-15 04:59:40

35

Views

Example of a nonmeasurable function $X$ equals a measurable function $Y$ on set $A$, with $\mu(A^c)=0$

Published on 15 Oct 2020 - 4:59

score 25 · Answer 6 · 2020-10-15 18:03:05

25

Views

How to show that a function is $\mathcal{B}(\mathbb(R)$ / $\mathcal{B}(\mathbb(R)$ measurable?

Published on 15 Oct 2020 - 18:03

score 103 · Answer 7 · 2020-10-16 19:25:30

103

Views

Definition of Fourier tranform

Published on 16 Oct 2020 - 19:25

score 93 · Answer 8 · 2020-10-19 21:22:14

93

Views

Does there exist a bounded function that preserves strict expectation inequalities?

Published on 19 Oct 2020 - 21:22

score 357 · Answer 9 · 2020-10-21 02:35:19

357

Views

Measurable functions are almost locally bounded

Published on 21 Oct 2020 - 2:35

score 260 · Answer 10 · 2020-10-21 03:15:58

260

Views

Absolutely integrable functions almost have bounded support

Published on 21 Oct 2020 - 3:15

score 91 · Answer 11 · 2020-10-21 13:26:44

91

Views

A lebesgue integrable function is measurable

Published on 21 Oct 2020 - 13:26

score 123 · Answer 12 · 2020-10-21 18:38:13

123

Views

Approximation of non-measurable functions with non-measurable functions

Published on 21 Oct 2020 - 18:38

score 27 · Answer 13 · 2026-02-26 01:02:53

27

Views

Problem about convergence of an integral

Published on 26 Feb 2026 - 1:02

score 918 · Answer 14 · 2020-10-23 17:16:40

918

Views

How to show that $\|f\|_{L^p} \to \|f\|_{L^\infty}$ as $p \to \infty$ if $f \in L^\infty \cap L^{p_0}$ for some $0 < p_0 < \infty$?

Published on 23 Oct 2020 - 17:16

score 58 · Answer 15 · 2026-03-28 13:33:46

58

Views

Is $f$ a Borel measurable function?

Published on 28 Mar 2026 - 13:33

List Question

If $0\leq f_{n}\leq g_{n}$, $f_{n}\longrightarrow f$, $g_{n}\longrightarrow g$, $\int_{0}^{1}g{n}\longrightarrow \int_{0}^{1}g$, then so is $f_{n}$.

Question related to a sigma-field generated by a $\overline{\pi}-system$

Differences between $X$, $\mathbb{E}(X)$ and $\mathbb{E}(X\mid\mathcal{F})$?

A question regarding the conclusion of Egoroff's Theorem

Example of a nonmeasurable function $X$ equals a measurable function $Y$ on set $A$, with $\mu(A^c)=0$

How to show that a function is $\mathcal{B}(\mathbb(R)$ / $\mathcal{B}(\mathbb(R)$ measurable?

Definition of Fourier tranform

Does there exist a bounded function that preserves strict expectation inequalities?

Measurable functions are almost locally bounded

Absolutely integrable functions almost have bounded support

A lebesgue integrable function is measurable

Approximation of non-measurable functions with non-measurable functions

Problem about convergence of an integral

How to show that $\|f\|_{L^p} \to \|f\|_{L^\infty}$ as $p \to \infty$ if $f \in L^\infty \cap L^{p_0}$ for some $0 < p_0 < \infty$?

Is $f$ a Borel measurable function?

Trending Questions

Popular # Hahtags

Popular Questions