Question

Product of two Lebesgue measurable set is measurable

score 1.6k · Answer 1 · 2026-04-16 16:10:14

1.6k

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Product of two Lebesgue measurable set is measurable

Published on 16 Apr 2026 - 16:10

score 49 · Answer 2 · 2026-04-17 01:04:35

49

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If $h: E \rightarrow [0,\infty]$, and $\nu(A) = \int_{A}hd\mu$, then if $A \in \mathcal{A} $ such that $\mu(A) =0 $, we have $\nu (A) =0$

Published on 17 Apr 2026 - 1:04

score 77 · Answer 3 · 2026-04-13 17:52:04

77

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Show that the seminorm $|\cdot|_p$ satisfies the second norm axiom, a question about $(\cdot)^p$ and $(\cdot)^{1/p}$, when $p = \infty$

Published on 13 Apr 2026 - 17:52

score 47 · Answer 4 · 2026-04-15 10:10:15

47

Views

Integral of limit is limit of integral and is finite, so the integrals over subsets also match

Published on 15 Apr 2026 - 10:10

score 45 · Answer 5 · 2026-04-16 02:07:42

45

Views

Mapping from 2 probability spaces that is invariant w.r.t. linear transformations of a variable?

Published on 16 Apr 2026 - 2:07

score 94 · Answer 6 · 2026-04-10 03:48:11

94

Views

Refutation of claim of cyclic relationship between distribution functions

Published on 10 Apr 2026 - 3:48

score 805 · Answer 7 · 2026-04-17 14:02:30

805

Views

Finding the Radon-Nikodym Derivative

Published on 17 Apr 2026 - 14:02

score 476 · Answer 8 · 2026-04-08 18:51:08

476

Views

Conditional measure of SRB measures on leaves

Published on 08 Apr 2026 - 18:51

score 77 · Answer 9 · 2026-04-17 06:49:14

77

Views

If $\|f\|_3 = \|g\|_3 = \int_E f^2 g =1,$ prove that $g(x) = |f(x)|$ for almost all $x \in E.$

Published on 17 Apr 2026 - 6:49

score 35 · Answer 10 · 2026-04-14 01:50:01

35

Views

Show $\hat f(\xi)=\hat{\nu}(\xi)$ where $\nu$ is probalility measure

Published on 14 Apr 2026 - 1:50

score 3.1k · Answer 11 · 2026-04-11 23:13:26

3.1k

Views

Expressing the sum of two simple functions

Published on 11 Apr 2026 - 23:13

score 242 · Answer 12 · 2026-04-14 14:24:37

242

Views

Surjective measures

Published on 14 Apr 2026 - 14:24

score 153 · Answer 13 · 2026-04-13 17:10:13

If $\mu^{\ast}$ is an outer measure with enveloping property, $A_n \nearrow A$, $\mu^{\ast}(A) = \lim_{n\to \infty}\mu^{\ast}(A_n)$

score 299 · Answer 14 · 2026-04-16 16:03:05

299

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Theorem 2.49 Folland, Generalization of Polar Coordiantes

Published on 16 Apr 2026 - 16:03

score 112 · Answer 15 · 2026-04-13 04:02:30

112

Views

Continuous functions approximating identity

Published on 13 Apr 2026 - 4:02

List Question

Product of two Lebesgue measurable set is measurable

If $h: E \rightarrow [0,\infty]$, and $\nu(A) = \int_{A}hd\mu$, then if $A \in \mathcal{A} $ such that $\mu(A) =0 $, we have $\nu (A) =0$

Show that the seminorm $|\cdot|_p$ satisfies the second norm axiom, a question about $(\cdot)^p$ and $(\cdot)^{1/p}$, when $p = \infty$

Integral of limit is limit of integral and is finite, so the integrals over subsets also match

Mapping from 2 probability spaces that is invariant w.r.t. linear transformations of a variable?

Refutation of claim of cyclic relationship between distribution functions

Finding the Radon-Nikodym Derivative

Conditional measure of SRB measures on leaves

If $\|f\|_3 = \|g\|_3 = \int_E f^2 g =1,$ prove that $g(x) = |f(x)|$ for almost all $x \in E.$

Show $\hat f(\xi)=\hat{\nu}(\xi)$ where $\nu$ is probalility measure

Expressing the sum of two simple functions

Surjective measures

If $\mu^{\ast}$ is an outer measure with enveloping property, $A_n \nearrow A$, $\mu^{\ast}(A) = \lim_{n\to \infty}\mu^{\ast}(A_n)$

Theorem 2.49 Folland, Generalization of Polar Coordiantes

Continuous functions approximating identity

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