Question

If $\| f \|_p \leq 1$, then $|f(x)| \leq 1$ for some $x$

score 53 · Answer 1 · 2026-04-16 14:02:14

53

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If $\| f \|_p \leq 1$, then $|f(x)| \leq 1$ for some $x$

Published on 16 Apr 2026 - 14:02

score 365 · Answer 2 · 2026-04-12 11:38:19

365

Views

A function with few Lebesgue point?

Published on 12 Apr 2026 - 11:38

score 110 · Answer 3 · 2026-04-14 05:27:09

110

Views

Proving that a proposed function is a Borel measure

Published on 14 Apr 2026 - 5:27

score 132 · Answer 4 · 2026-04-17 22:20:19

132

Views

Does $\int_0^\infty f(x) dx = \lim_{n \to \infty} \int_0^n f(x) dx$ for $f \geq 0$ or $f$ not positive?

Published on 17 Apr 2026 - 22:20

score 68 · Answer 5 · 2026-04-16 03:56:43

68

Views

Questions about proof of $\exists g$ continuous on $\mathbb{R}$, such that $g=\varphi$, except possibly on a set of measure less than $\epsilon/2$

Published on 16 Apr 2026 - 3:56

score 295 · Answer 6 · 2026-04-11 21:43:26

295

Views

Why the additive property of measure of elementary set is well-defined

Published on 11 Apr 2026 - 21:43

score 410 · Answer 7 · 2026-04-10 19:19:35

410

Views

For a continouous function limsup and liminf are equal

Published on 10 Apr 2026 - 19:19

score 193 · Answer 8 · 2026-04-09 00:44:25

193

Views

How to prove the problem in Measure Theory

Published on 09 Apr 2026 - 0:44

score 50 · Answer 9 · 2026-04-14 04:45:27

50

Views

Is the sigular part of Lebesgue decomposition concentrated on a Borel subset?

Published on 14 Apr 2026 - 4:45

score 28 · Answer 10 · 2026-03-25 16:03:54

28

Views

Proving the Domain of definition of two Lebesgue extensions are the same.

Published on 25 Mar 2026 - 16:03

score 28 · Answer 11 · 2026-04-17 22:16:30

28

Views

$g$ is differentiable and $g'(y)=\int_{\mathbb{R}}ixf(x)e^{iyx}dm(x)$

Published on 17 Apr 2026 - 22:16

score 518 · Answer 12 · 2026-04-10 18:04:41

518

Views

Lebesgue integration independent of partition

Published on 10 Apr 2026 - 18:04

score 474 · Answer 13 · 2026-04-14 22:04:26

474

Views

Proving that every set in the ring generated by all rectangles can be covered by a finite disjoint union of rectangles

Published on 14 Apr 2026 - 22:04

score 96 · Answer 14 · 2026-04-08 20:49:13

96

Views

natural problem where a Lebesgue integral turns out to be useful

Published on 08 Apr 2026 - 20:49

score 5.1k · Answer 15 · 2026-04-17 22:16:30

5.1k

Views

A rigorous meaning of "induced measure"?

Published on 17 Apr 2026 - 22:16

List Question

If $\| f \|_p \leq 1$, then $|f(x)| \leq 1$ for some $x$

A function with few Lebesgue point?

Proving that a proposed function is a Borel measure

Does $\int_0^\infty f(x) dx = \lim_{n \to \infty} \int_0^n f(x) dx$ for $f \geq 0$ or $f$ not positive?

Questions about proof of $\exists g$ continuous on $\mathbb{R}$, such that $g=\varphi$, except possibly on a set of measure less than $\epsilon/2$

Why the additive property of measure of elementary set is well-defined

For a continouous function limsup and liminf are equal

How to prove the problem in Measure Theory

Is the sigular part of Lebesgue decomposition concentrated on a Borel subset?

Proving the Domain of definition of two Lebesgue extensions are the same.

$g$ is differentiable and $g'(y)=\int_{\mathbb{R}}ixf(x)e^{iyx}dm(x)$

Lebesgue integration independent of partition

Proving that every set in the ring generated by all rectangles can be covered by a finite disjoint union of rectangles

natural problem where a Lebesgue integral turns out to be useful

A rigorous meaning of "induced measure"?

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