Question

Show that the measure induced by the Cantor Function is absolutely continuous w.r.t Lebesgue measure

score 84 · Answer 1 · 2022-11-18 05:59:25

84

Views

Show that the measure induced by the Cantor Function is absolutely continuous w.r.t Lebesgue measure

Published on 18 Nov 2022 - 5:59

score 75 · Answer 2 · 2022-11-25 21:01:20

75

Views

Approximate range of Radon-Nikodym Derivative in a dynamic system

Published on 25 Nov 2022 - 21:01

score 63 · Answer 3 · 2022-11-28 17:15:52

63

Views

About conditional expectation and R-N derivative: $X \geq 0$ is a r.v. On $(\Omega, \mathcal{F}, \mathbb{P})$. $\mu(E)=\mathbb{E}(X\chi_{E})$

Published on 28 Nov 2022 - 17:15

score 81 · Answer 4 · 2022-12-06 18:51:58

81

Views

$\mu,\nu$ be two complex measures. Prove that, $\mu\perp\nu\iff |a\mu+b\nu|=|a||\mu|+|b||\nu|$ for all $a,b\in\Bbb{C}$

Published on 06 Dec 2022 - 18:51

score 331 · Answer 5 · 2022-12-07 17:11:10

331

Views

Let $\mu,\nu$ are finite positive measures on measurable space $(X,\mathfrak{M})$. Prove that, $\mu\perp\nu\iff |\mu-\nu|=\mu+\nu$

Published on 07 Dec 2022 - 17:11

score 41 · Answer 6 · 2022-12-07 18:42:05

41

Views

Refined Lebesgue Decomposition: $\nu_d \le \nu_s$ and $\nu_c \ge \nu_a$

Published on 07 Dec 2022 - 18:42

score 80 · Answer 7 · 2022-12-14 23:47:53

80

Views

Computation of a limit using a corollary of Lebesgue's differentiation theorem

Published on 14 Dec 2022 - 23:47

score 67 · Answer 8 · 2022-12-16 04:33:59

67

Views

Product measurability of the Radon-Nikodym derivative of two Marcov kernels

Published on 16 Dec 2022 - 4:33

score 34 · Answer 9 · 2022-12-23 18:39:18

34

Views

Question on Radon-Nikodym derivative: Showing that $\int_Afd\mu_1=\int_Afg_{\mu_2}(\mu_1)d\mu_2$ for every Borel set $A$ when $\mu_1,\mu_2$ are finite

Published on 23 Dec 2022 - 18:39

score 246 · Answer 10 · 2023-01-01 22:12:46

246

Views

Relationship between the Radon Nikodym derivative with respect to two measures in both directions

Published on 01 Jan 2023 - 22:12

score 63 · Answer 11 · 2023-01-04 13:11:13

63

Views

Applying Radon-Nikodym and Riesz Representation Theorem to Prove a Proposition

Published on 04 Jan 2023 - 13:11

score 58 · Answer 12 · 2023-01-13 20:49:40

58

Views

Conditional expectation Folland 3.2.17

Published on 13 Jan 2023 - 20:49

score 52 · Answer 13 · 2023-01-27 11:28:26

52

Views

Sequence of ratios of measures with bounded Radon-Nikodym derivative cannot diverge

Published on 27 Jan 2023 - 11:28

score 43 · Answer 14 · 2023-01-28 15:11:19

43

Views

$\sigma$-linearity of the Radon-Nikodym operator.

Published on 28 Jan 2023 - 15:11

List Question

Show that the measure induced by the Cantor Function is absolutely continuous w.r.t Lebesgue measure

Approximate range of Radon-Nikodym Derivative in a dynamic system

About conditional expectation and R-N derivative: $X \geq 0$ is a r.v. On $(\Omega, \mathcal{F}, \mathbb{P})$. $\mu(E)=\mathbb{E}(X\chi_{E})$

$\mu,\nu$ be two complex measures. Prove that, $\mu\perp\nu\iff |a\mu+b\nu|=|a||\mu|+|b||\nu|$ for all $a,b\in\Bbb{C}$

Let $\mu,\nu$ are finite positive measures on measurable space $(X,\mathfrak{M})$. Prove that, $\mu\perp\nu\iff |\mu-\nu|=\mu+\nu$

Refined Lebesgue Decomposition: $\nu_d \le \nu_s$ and $\nu_c \ge \nu_a$

Computation of a limit using a corollary of Lebesgue's differentiation theorem

Product measurability of the Radon-Nikodym derivative of two Marcov kernels

Question on Radon-Nikodym derivative: Showing that $\int_Afd\mu_1=\int_Afg_{\mu_2}(\mu_1)d\mu_2$ for every Borel set $A$ when $\mu_1,\mu_2$ are finite

Relationship between the Radon Nikodym derivative with respect to two measures in both directions

Applying Radon-Nikodym and Riesz Representation Theorem to Prove a Proposition

Conditional expectation Folland 3.2.17

Sequence of ratios of measures with bounded Radon-Nikodym derivative cannot diverge

$\sigma$-linearity of the Radon-Nikodym operator.

Trending Questions

Popular # Hahtags

Popular Questions