Question

Measurability of a function hoped to be a transition kernel

score 252 · Answer 1 · 2026-04-10 07:11:11

252

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Measurability of a function hoped to be a transition kernel

Published on 10 Apr 2026 - 7:11

score 711 · Answer 2 · 2026-04-10 23:59:02

711

Views

Does uniform convergence imply convergence in measure?

Published on 10 Apr 2026 - 23:59

score 262 · Answer 3 · 2026-04-13 03:33:44

262

Views

Lebesgue measure and Lebesgue outer measure as a graph

Published on 13 Apr 2026 - 3:33

score 49 · Answer 4 · 2026-04-11 06:24:22

49

Views

Existence of sequence of non-atoms and questions on sequences and notations

Published on 11 Apr 2026 - 6:24

score 287 · Answer 5 · 2026-04-14 23:33:42

287

Views

Counterexample for a statement about independence of random variables

Published on 14 Apr 2026 - 23:33

score 52 · Answer 6 · 2026-04-14 19:35:52

52

Views

For every $p \in (0, \infty)$, find $f$ continuous such that $f \in L_q(\lambda)$ with $q \in (0, \infty)$ if and only if $q=p$

Published on 14 Apr 2026 - 19:35

score 226 · Answer 7 · 2026-03-25 17:33:52

226

Views

Showing that $f(x) = \frac{1}{\sqrt x \ (|1+lnx|)} \chi_{(0,\infty)}$ is in $L^p_\mu \mathbb{(R)}$ iff $p=2$

Published on 25 Mar 2026 - 17:33

score 104 · Answer 8 · 2026-04-09 11:56:02

104

Views

Almost everywhere pointwise convergence vs pointwise convergence

Published on 09 Apr 2026 - 11:56

score 76 · Answer 9 · 2026-04-16 02:35:08

76

Views

If $X$ and $Y$ are both independent from $\mathscr {F}$, is $f(X,Y)$ also independent from $\mathscr{F}$?

Published on 16 Apr 2026 - 2:35

score 101 · Answer 10 · 2026-04-11 02:51:13

101

Views

Finding bounds to apply Dominated Convergence

Published on 11 Apr 2026 - 2:51

score 1.7k · Answer 11 · 2026-04-16 04:18:12

1.7k

Views

Every open and closed set is $G_{\delta}$ and $ F_{\sigma}$

Published on 16 Apr 2026 - 4:18

score 95 · Answer 12 · 2026-04-11 05:56:57

95

Views

Premeasure and induced outer measure exercise.

Published on 11 Apr 2026 - 5:56

score 286 · Answer 13 · 2026-04-13 15:40:10

286

Views

Open subsets of $\mathbf{R}^n$

Published on 13 Apr 2026 - 15:40

score 238 · Answer 14 · 2026-04-11 08:29:50

238

Views

integral over the pre-image of a convex set

Published on 11 Apr 2026 - 8:29

score 215 · Answer 15 · 2026-04-12 05:23:44

215

Views

Infinity of positive integers and lebesgue's measure zero

Published on 12 Apr 2026 - 5:23

List Question

Measurability of a function hoped to be a transition kernel

Does uniform convergence imply convergence in measure?

Lebesgue measure and Lebesgue outer measure as a graph

Existence of sequence of non-atoms and questions on sequences and notations

Counterexample for a statement about independence of random variables

For every $p \in (0, \infty)$, find $f$ continuous such that $f \in L_q(\lambda)$ with $q \in (0, \infty)$ if and only if $q=p$

Showing that $f(x) = \frac{1}{\sqrt x \ (|1+lnx|)} \chi_{(0,\infty)}$ is in $L^p_\mu \mathbb{(R)}$ iff $p=2$

Almost everywhere pointwise convergence vs pointwise convergence

If $X$ and $Y$ are both independent from $\mathscr {F}$, is $f(X,Y)$ also independent from $\mathscr{F}$?

Finding bounds to apply Dominated Convergence

Every open and closed set is $G_{\delta}$ and $ F_{\sigma}$

Premeasure and induced outer measure exercise.

Open subsets of $\mathbf{R}^n$

integral over the pre-image of a convex set

Infinity of positive integers and lebesgue's measure zero

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