Question

What mean $X_n(\mathbb P)$ for $X_n$ r.v. and $\mu$ a measure on $\mathbb R$?

score 40 · Answer 1 · 2026-04-13 20:23:29

40

Views

What mean $X_n(\mathbb P)$ for $X_n$ r.v. and $\mu$ a measure on $\mathbb R$?

Published on 13 Apr 2026 - 20:23

score 106 · Answer 2 · 2026-04-17 18:38:26

106

Views

Proving a measure is addtive but not $\sigma-\text{addtive}$

Published on 17 Apr 2026 - 18:38

score 474 · Answer 3 · 2026-04-17 22:52:13

474

Views

Convolution of a $L^p$ function and a $L^q$ function is bounded

Published on 17 Apr 2026 - 22:52

score 19 · Answer 4 · 2026-04-28 12:19:46

19

Views

Can this sequence of integrals take small values outside a compact set?

Published on 28 Apr 2026 - 12:19

score 50 · Answer 5 · 2026-04-15 16:17:02

50

Views

If $f \in L^1(\mathbb{R})$, does $\lim_{s \rightarrow \infty}\int |f(x-s) - f(x)| dm$ exist?

Published on 15 Apr 2026 - 16:17

score 249 · Answer 6 · 2026-04-11 16:05:28

249

Views

An apparent counterexample to Lusin's theorem

Published on 11 Apr 2026 - 16:05

score 144 · Answer 7 · 2026-04-12 13:50:29

$\mu,\nu$ $\sigma$-finite and $\nu \le \mu$. Then there exists a $\mu$-almost-everywhere unique function $f$ with $0 \le f \le 1 \ \mu \ a.e.$

score 44 · Answer 8 · 2026-04-15 15:38:33

44

Views

Non-trivial interior of Minkowski's sum of measurable set

Published on 15 Apr 2026 - 15:38

score 513 · Answer 9 · 2026-04-15 22:59:00

513

Views

Sequence of Borel measurable functions where the limit of the integral of the sequence is not equal to the integral of the limit of the sequence

Published on 15 Apr 2026 - 22:59

score 34 · Answer 10 · 2026-04-17 00:36:33

34

Views

Question regarding the sup of an integral

Published on 17 Apr 2026 - 0:36

score 65 · Answer 11 · 2026-04-09 03:06:20

65

Views

Question on convergence in the weak topology of measures

Published on 09 Apr 2026 - 3:06

score 95 · Answer 12 · 2026-04-13 04:25:35

95

Views

Real Analysis: Proving Continuity ($\epsilon$ $\delta$ argument)

Published on 13 Apr 2026 - 4:25

score 415 · Answer 13 · 2026-04-11 19:50:34

415

Views

Convolution of two measures is absolutely steady

Published on 11 Apr 2026 - 19:50

score 103 · Answer 14 · 2026-04-29 18:18:44

103

Views

Is the union of disjoint, non-Borel sets also non-Borel?

Published on 29 Apr 2026 - 18:18

score 105 · Answer 15 · 2026-04-11 02:07:11

105

Views

Measure Theory: $\sigma$-finite $\implies$ $\sigma$-subadditive over $\sigma(\mathcal{A})$?

Published on 11 Apr 2026 - 2:07

List Question

What mean $X_n(\mathbb P)$ for $X_n$ r.v. and $\mu$ a measure on $\mathbb R$?

Proving a measure is addtive but not $\sigma-\text{addtive}$

Convolution of a $L^p$ function and a $L^q$ function is bounded

Can this sequence of integrals take small values outside a compact set?

If $f \in L^1(\mathbb{R})$, does $\lim_{s \rightarrow \infty}\int |f(x-s) - f(x)| dm$ exist?

An apparent counterexample to Lusin's theorem

$\mu,\nu$ $\sigma$-finite and $\nu \le \mu$. Then there exists a $\mu$-almost-everywhere unique function $f$ with $0 \le f \le 1 \ \mu \ a.e.$

Non-trivial interior of Minkowski's sum of measurable set

Sequence of Borel measurable functions where the limit of the integral of the sequence is not equal to the integral of the limit of the sequence

Question regarding the sup of an integral

Question on convergence in the weak topology of measures

Real Analysis: Proving Continuity ($\epsilon$ $\delta$ argument)

Convolution of two measures is absolutely steady

Is the union of disjoint, non-Borel sets also non-Borel?

Measure Theory: $\sigma$-finite $\implies$ $\sigma$-subadditive over $\sigma(\mathcal{A})$?

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