Question

If $\mu$ is a vector measure and $(A_n)_n$ is disjoint, are we able to show that $(\left\|\mu(A_n)\right\|)_n$ is summable$?

score 22 · Answer 1 · 2018-01-17 21:56:06

If $\mu$ is a vector measure and $(A_n)_n$ is disjoint, are we able to show that $(\left\|\mu(A_n)\right\|)_n$ is summable$?

score 476 · Answer 2 · 2026-03-26 23:19:22

476

Views

Show that $F$ is a $\pi$-system.

Published on 26 Mar 2026 - 23:19

score 521 · Answer 3 · 2026-04-09 22:53:51

521

Views

Can this function be integrated and, if so, what is its value?

Published on 09 Apr 2026 - 22:53

score 400 · Answer 4 · 2026-04-08 23:09:57

400

Views

Convergence of Probability Measures and Respective Distribution Functions

Published on 08 Apr 2026 - 23:09

score 90 · Answer 5 · 2026-04-09 23:18:48

90

Views

Proof that $x \mapsto \int |u(x+y)-u(y)|^p \lambda^n(dy)$ is continuous

Published on 09 Apr 2026 - 23:18

score 550 · Answer 6 · 2026-04-09 00:10:09

550

Views

Proof of Young's inequality $\Vert u \star v \Vert_p \le \Vert u \Vert_1 \Vert v \Vert_p.$

Published on 09 Apr 2026 - 0:10

score 228 · Answer 7 · 2026-04-09 04:12:12

228

Views

Versions of Lusin theorem

Published on 09 Apr 2026 - 4:12

score 710 · Answer 8 · 2026-04-09 13:12:51

710

Views

Bartle's proof of Lebesgue Dominated Convergence Theorem

Published on 09 Apr 2026 - 13:12

score 487 · Answer 9 · 2026-04-09 03:51:14

487

Views

Lipschitz continuous function whose derivative is not continuous almost everywhere

Published on 09 Apr 2026 - 3:51

score 73 · Answer 10 · 2026-04-09 11:59:13

73

Views

Normed bounded sequence of $L^2[0,1]$

Published on 09 Apr 2026 - 11:59

score 710 · Answer 11 · 2018-01-18 20:45:39

710

Views

Vitali Covering theorem, countable sub-collection?

Published on 18 Jan 2018 - 20:45

score 163 · Answer 12 · 2018-01-18 20:45:40

163

Views

Sigma Algebra and Countability/Cocountability

Published on 18 Jan 2018 - 20:45

score 282 · Answer 13 · 2026-04-10 02:58:22

282

Views

Radon Measure and locally compactness

Published on 10 Apr 2026 - 2:58

score 1.4k · Answer 14 · 2026-04-09 00:31:22

1.4k

Views

Convergence of Maximum of Cauchy Random Variables

Published on 09 Apr 2026 - 0:31

score 96 · Answer 15 · 2026-04-09 13:57:29

96

Views

How to find a function describing all possible measures of a countable set?

Published on 09 Apr 2026 - 13:57

List Question

If $\mu$ is a vector measure and $(A_n)_n$ is disjoint, are we able to show that $(\left\|\mu(A_n)\right\|)_n$ is summable$?

Show that $F$ is a $\pi$-system.

Can this function be integrated and, if so, what is its value?

Convergence of Probability Measures and Respective Distribution Functions

Proof that $x \mapsto \int |u(x+y)-u(y)|^p \lambda^n(dy)$ is continuous

Proof of Young's inequality $\Vert u \star v \Vert_p \le \Vert u \Vert_1 \Vert v \Vert_p.$

Versions of Lusin theorem

Bartle's proof of Lebesgue Dominated Convergence Theorem

Lipschitz continuous function whose derivative is not continuous almost everywhere

Normed bounded sequence of $L^2[0,1]$

Vitali Covering theorem, countable sub-collection?

Sigma Algebra and Countability/Cocountability

Radon Measure and locally compactness

Convergence of Maximum of Cauchy Random Variables

How to find a function describing all possible measures of a countable set?

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