Question

Comparing measures in finite dimensional complex vector spaces

score 214 · Answer 1 · 2026-04-09 03:36:20

214

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Comparing measures in finite dimensional complex vector spaces

Published on 09 Apr 2026 - 3:36

score 742 · Answer 2 · 2026-04-09 04:11:41

742

Views

Absolute continuity of a Borel measure

Published on 09 Apr 2026 - 4:11

score 446 · Answer 3 · 2026-04-12 03:53:14

446

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Why use pre-measures for the construction of outer measures?

Published on 12 Apr 2026 - 3:53

score 84 · Answer 4 · 2026-04-12 16:49:09

84

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expectation of the weighted sum of random variables

Published on 12 Apr 2026 - 16:49

score 43 · Answer 5 · 2026-04-10 05:02:05

43

Views

Biggest $(-t,t)\subset A-A$ if $λ(Α)>0$

Published on 10 Apr 2026 - 5:02

score 87 · Answer 6 · 2026-04-09 06:08:37

If $\mu$ is a finite measure and $ν$ is a vector measure with $|\nu|\le C\mu$, are we able to show $\left|\frac{{\rm d}ν}{{\rm d}\mu}\right|\le C$?

score 68 · Answer 7 · 2026-03-25 03:21:26

68

Views

Convergence of integrals given pointwise convergence and some other conditions but not $L^1$ dominance.

Published on 25 Mar 2026 - 3:21

score 120 · Answer 8 · 2026-03-24 22:08:23

120

Views

On what groups is the convolution of probabilities jointly weak*-continuous?

Published on 24 Mar 2026 - 22:08

score 148 · Answer 9 · 2026-04-02 20:13:41

148

Views

Prove that $||(\sum^k_{i=1}|f_i|)^{\frac{1}{2}}||_p \leq (\sum^k_i ||f_i||^2_p)^{\frac{1}{2}}$

Published on 02 Apr 2026 - 20:13

score 217 · Answer 10 · 2026-03-29 05:42:35

217

Views

Suggest some good note on harmonic measure

Published on 29 Mar 2026 - 5:42

score 129 · Answer 11 · 2026-03-25 09:38:33

129

Views

Given two independent random variables $X$ and $Y$, are $E[X|\mathcal{G}]$ and $E[Y|\mathcal{G}]$ independent necessarily?

Published on 25 Mar 2026 - 9:38

score 86 · Answer 12 · 2026-04-11 13:35:10

86

Views

Fourier transform of smoothed measure converges uniformly globally (not just on compact sets)?

Published on 11 Apr 2026 - 13:35

score 150 · Answer 13 · 2026-03-26 06:10:55

150

Views

Is the $\sigma$-algebra generated by several random variables equal to the preimage of the $\sigma$-algebra on the product space?

Published on 26 Mar 2026 - 6:10

score 55 · Answer 14 · 2026-03-25 04:44:19

55

Views

Given Lebesgue measurable sets $X,Y,Z$, Show that $f(X,Z)\leq f(X,Y) + f(Y,Z)$

Published on 25 Mar 2026 - 4:44

score 257 · Answer 15 · 2026-04-12 01:19:55

257

Views

Continuity counterexamples for probability measures

Published on 12 Apr 2026 - 1:19

List Question

Comparing measures in finite dimensional complex vector spaces

Absolute continuity of a Borel measure

Why use pre-measures for the construction of outer measures?

expectation of the weighted sum of random variables

Biggest $(-t,t)\subset A-A$ if $λ(Α)>0$

If $\mu$ is a finite measure and $ν$ is a vector measure with $|\nu|\le C\mu$, are we able to show $\left|\frac{{\rm d}ν}{{\rm d}\mu}\right|\le C$?

Convergence of integrals given pointwise convergence and some other conditions but not $L^1$ dominance.

On what groups is the convolution of probabilities jointly weak*-continuous?

Prove that $||(\sum^k_{i=1}|f_i|)^{\frac{1}{2}}||_p \leq (\sum^k_i ||f_i||^2_p)^{\frac{1}{2}}$

Suggest some good note on harmonic measure

Given two independent random variables $X$ and $Y$, are $E[X|\mathcal{G}]$ and $E[Y|\mathcal{G}]$ independent necessarily?

Fourier transform of smoothed measure converges uniformly globally (not just on compact sets)?

Is the $\sigma$-algebra generated by several random variables equal to the preimage of the $\sigma$-algebra on the product space?

Given Lebesgue measurable sets $X,Y,Z$, Show that $f(X,Z)\leq f(X,Y) + f(Y,Z)$

Continuity counterexamples for probability measures

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