Question

Why should the hyperplane define an at most countable set of discontinuity points?

score 149 · Answer 1 · 2026-04-10 15:56:33

149

Views

Why should the hyperplane define an at most countable set of discontinuity points?

Published on 10 Apr 2026 - 15:56

score 62 · Answer 2 · 2026-04-09 15:21:08

62

Views

Why do we need to use dominated convergence theorem?

Published on 09 Apr 2026 - 15:21

score 70 · Answer 3 · 2026-04-16 09:35:08

70

Views

Show that $\lim_{s\rightarrow \infty} e^s m\left( f^{-1}\left([s,\infty)\right) \right) =0$.

Published on 16 Apr 2026 - 9:35

score 54 · Answer 4 · 2026-04-09 15:21:37

54

Views

Difference between convergent in Measure and convergent a.e.

Published on 09 Apr 2026 - 15:21

score 76 · Answer 5 · 2026-04-21 10:14:50

76

Views

Find a sequence $(\phi_n)_n \subset C^{\infty}_c(\mathbb{R}^N)$ which converges in both $L^p(\nu)$ and $L^q(\mu)$ to $1_E$

Published on 21 Apr 2026 - 10:14

score 37 · Answer 6 · 2026-04-16 04:25:51

37

Views

If f is bounded ($\vert f(x)\lvert \leq M$), and $f\in L^1(R)$, then

Published on 16 Apr 2026 - 4:25

score 59 · Answer 7 · 2026-04-12 04:59:35

59

Views

Let F be an absolutely continuous function on [0,1] and $F’\in L^p([0,1])$

Published on 12 Apr 2026 - 4:59

score 53 · Answer 8 · 2026-04-11 13:39:37

53

Views

Suppose $f$ is an integral defined on $[0,b]$, and

Published on 11 Apr 2026 - 13:39

score 272 · Answer 9 · 2026-04-12 11:56:25

272

Views

Where does Kolmogorov stand among the pantheon of mathematicians?

Published on 12 Apr 2026 - 11:56

score 93 · Answer 10 · 2026-04-24 03:50:19

93

Views

Covering $X^2$ with countable subsets of $X$ for uncountable set $X$

Published on 24 Apr 2026 - 3:50

score 26 · Answer 11 · 2026-04-10 23:25:04

26

Views

Can one decompose a measurable functions as follows?

Published on 10 Apr 2026 - 23:25

score 238 · Answer 12 · 2026-04-13 20:31:01

238

Views

Set which is both ring and monotone class it is $\sigma$-ring

Published on 13 Apr 2026 - 20:31

score 116 · Answer 13 · 2026-04-15 11:37:21

116

Views

Continuous function $f:\mathbb R\to \mathbb R$ such that $f(B)$ is not measurable for a Borel set $B$.

Published on 15 Apr 2026 - 11:37

score 86 · Answer 14 · 2026-04-12 20:06:44

86

Views

Is $1^{\infty}$ equal to something in the extended real line?

Published on 12 Apr 2026 - 20:06

score 92 · Answer 15 · 2026-04-09 08:12:24

92

Views

Hint on a measure theory question

Published on 09 Apr 2026 - 8:12

List Question

Why should the hyperplane define an at most countable set of discontinuity points?

Why do we need to use dominated convergence theorem?

Show that $\lim_{s\rightarrow \infty} e^s m\left( f^{-1}\left([s,\infty)\right) \right) =0$.

Difference between convergent in Measure and convergent a.e.

Find a sequence $(\phi_n)_n \subset C^{\infty}_c(\mathbb{R}^N)$ which converges in both $L^p(\nu)$ and $L^q(\mu)$ to $1_E$

If f is bounded ($\vert f(x)\lvert \leq M$), and $f\in L^1(R)$, then

Let F be an absolutely continuous function on [0,1] and $F’\in L^p([0,1])$

Suppose $f$ is an integral defined on $[0,b]$, and

Where does Kolmogorov stand among the pantheon of mathematicians?

Covering $X^2$ with countable subsets of $X$ for uncountable set $X$

Can one decompose a measurable functions as follows?

Set which is both ring and monotone class it is $\sigma$-ring

Continuous function $f:\mathbb R\to \mathbb R$ such that $f(B)$ is not measurable for a Borel set $B$.

Is $1^{\infty}$ equal to something in the extended real line?

Hint on a measure theory question

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