Question

Understanding compact extensions and almost-periodic functions

score 319 · Answer 1 · 2026-05-10 15:11:25

319

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Understanding compact extensions and almost-periodic functions

Published on 10 May 2026 - 15:11

score 173 · Answer 2 · 2026-04-11 10:07:36

173

Views

The application $\mu^*$ is an outer measure. A proof without the Fubin's Theorem.

Published on 11 Apr 2026 - 10:07

score 93 · Answer 3 · 2026-04-15 11:37:16

For finite $\sigma$-algebras, to check closure of countable unions, does it suffice to show that the union of two events is also an event?

score 300 · Answer 4 · 2026-04-16 11:07:25

300

Views

prove that this function has Lebesgue measurable image

Published on 16 Apr 2026 - 11:07

score 158 · Answer 5 · 2026-05-11 05:25:46

158

Views

Integrals over the space of Riemannian metrics on $M$

Published on 11 May 2026 - 5:25

score 532 · Answer 6 · 2026-04-08 22:22:53

532

Views

A good book on measure theory for self study

Published on 08 Apr 2026 - 22:22

score 939 · Answer 7 · 2026-05-14 01:20:41

939

Views

Absolute continuity of measure and $\epsilon-\delta$ condtion

Published on 14 May 2026 - 1:20

score 376 · Answer 8 · 2026-04-14 22:35:58

376

Views

Portmanteau Theorem Proof

Published on 14 Apr 2026 - 22:35

score 140 · Answer 9 · 2026-04-14 04:41:20

140

Views

Trying to prove Sard's lemma

Published on 14 Apr 2026 - 4:41

score 106 · Answer 10 · 2026-04-15 10:35:49

106

Views

$\{V_n\}$ and $\{W_n\}$ are two sequences of random variables, show that$V_n-W_n\overset{p}\to0$.

Published on 15 Apr 2026 - 10:35

score 58 · Answer 11 · 2026-05-10 17:39:15

58

Views

Prove $\int_Rfg\,dm\leq\|f\|_p^{1-p/r}\|g\|_p^{1-q/r}(\int_Rf^pg^q\,dm)^{1/r}$, where $1\leq p\leq\infty$ and $\frac1{r}=\frac1{p}+\frac1{q}-1$

Published on 10 May 2026 - 17:39

score 153 · Answer 12 · 2026-04-09 09:31:44

153

Views

Sigma Algebra Generated by Subset and Radon-Nikodym derivative

Published on 09 Apr 2026 - 9:31

score 66 · Answer 13 · 2026-04-12 12:28:00

66

Views

If $(X_t)_{t\ge0}$ is a Markov process with invariant measure $\mu$, does the distribution of $X_t$ weakly converge to $\mu$ as $t\to\infty$?

Published on 12 Apr 2026 - 12:28

score 66 · Answer 14 · 2026-04-16 17:01:51

$\big[(X \cap A^c)\cup A\big] \backslash \big[(C \cap A^c)\cup B\big] = \big[(X \cap A^c)\backslash (C \cap A^c)\big] \cup (A\backslash B)$?

score 1k · Answer 15 · 2026-05-10 14:39:13

1k

Views

"Almost uniformly convergent" Implies "Uniformly convergent almost everywhere" . Is there something wrong?

Published on 10 May 2026 - 14:39

List Question

Understanding compact extensions and almost-periodic functions

The application $\mu^*$ is an outer measure. A proof without the Fubin's Theorem.

For finite $\sigma$-algebras, to check closure of countable unions, does it suffice to show that the union of two events is also an event?

prove that this function has Lebesgue measurable image

Integrals over the space of Riemannian metrics on $M$

A good book on measure theory for self study

Absolute continuity of measure and $\epsilon-\delta$ condtion

Portmanteau Theorem Proof

Trying to prove Sard's lemma

$\{V_n\}$ and $\{W_n\}$ are two sequences of random variables, show that$V_n-W_n\overset{p}\to0$.

Prove $\int_Rfg\,dm\leq\|f\|_p^{1-p/r}\|g\|_p^{1-q/r}(\int_Rf^pg^q\,dm)^{1/r}$, where $1\leq p\leq\infty$ and $\frac1{r}=\frac1{p}+\frac1{q}-1$

Sigma Algebra Generated by Subset and Radon-Nikodym derivative

If $(X_t)_{t\ge0}$ is a Markov process with invariant measure $\mu$, does the distribution of $X_t$ weakly converge to $\mu$ as $t\to\infty$?

$\big[(X \cap A^c)\cup A\big] \backslash \big[(C \cap A^c)\cup B\big] = \big[(X \cap A^c)\backslash (C \cap A^c)\big] \cup (A\backslash B)$?

"Almost uniformly convergent" Implies "Uniformly convergent almost everywhere" . Is there something wrong?

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