Question

An application of convergence of measures

score 159 · Answer 1 · 2018-03-21 16:06:07

159

Views

An application of convergence of measures

Published on 21 Mar 2018 - 16:06

score 41 · Answer 2 · 2018-03-22 00:16:32

41

Views

What examples are there of sets with locally non-extreme measure?

Published on 22 Mar 2018 - 0:16

score 33 · Answer 3 · 2018-03-22 00:47:04

33

Views

How do I evaluate the the nth root of Lebesgue measure of a ball

Published on 22 Mar 2018 - 0:47

score 129 · Answer 4 · 2018-03-22 02:51:19

129

Views

An integrable function f and a bounded function g that disagree at a set with measure 0, but g is not integrable.

Published on 22 Mar 2018 - 2:51

score 34 · Answer 5 · 2026-03-25 08:10:54

34

Views

$\phi_h(x)=\int_{x+h}^{x+h}f(t)dm(t)$ where $f \in \mathcal{L}^1(\mathbb{R}, \mathcal{B}(\mathbb{R}), m)$

Published on 25 Mar 2026 - 8:10

score 203 · Answer 6 · 2026-03-22 14:52:14

203

Views

Measure theory sequence limsup

Published on 22 Mar 2026 - 14:52

score 273 · Answer 7 · 2018-03-24 10:05:48

273

Views

When is it allowed to permute sum and integral for a sequence of measurable functions

Published on 24 Mar 2018 - 10:05

score 102 · Answer 8 · 2018-03-24 22:55:41

102

Views

How is the energy-momentum spectral measure defined in relation to the energy-momentum generators?

Published on 24 Mar 2018 - 22:55

score 1.1k · Answer 9 · 2018-03-26 07:18:49

1.1k

Views

Image of Lebesgue measurable set by $C^1$ function is measurable

Published on 26 Mar 2018 - 7:18

score 29 · Answer 10 · 2018-03-26 13:50:21

29

Views

Prove that \begin{eqnarray} \lim\limits_{p\rightarrow +\infty }||f||_{L^p}=||f||_{L^\infty}. \end{eqnarray}

Published on 26 Mar 2018 - 13:50

score 574 · Answer 11 · 2018-03-26 15:04:41

574

Views

How come the product $V\times\{0\}$ is measurable with $V$ non measurable?

Published on 26 Mar 2018 - 15:04

score 91 · Answer 12 · 2026-03-25 08:00:44

91

Views

For every r>0, there is a vitali set having outer measure less than r

Published on 25 Mar 2026 - 8:00

score 487 · Answer 13 · 2018-03-26 17:13:25

487

Views

Measure of a set under diffeomorphism

Published on 26 Mar 2018 - 17:13

score 93 · Answer 14 · 2018-03-27 00:46:36

93

Views

Lebesgue decomposition and Radon-Nikodym derivative

Published on 27 Mar 2018 - 0:46

score 28 · Answer 15 · 2018-03-27 22:28:27

28

Views

Finding a set in Borel sigma algebra given a set in Lebesgue measurable space

Published on 27 Mar 2018 - 22:28

List Question

An application of convergence of measures

What examples are there of sets with locally non-extreme measure?

How do I evaluate the the nth root of Lebesgue measure of a ball

An integrable function f and a bounded function g that disagree at a set with measure 0, but g is not integrable.

$\phi_h(x)=\int_{x+h}^{x+h}f(t)dm(t)$ where $f \in \mathcal{L}^1(\mathbb{R}, \mathcal{B}(\mathbb{R}), m)$

Measure theory sequence limsup

When is it allowed to permute sum and integral for a sequence of measurable functions

How is the energy-momentum spectral measure defined in relation to the energy-momentum generators?

Image of Lebesgue measurable set by $C^1$ function is measurable

Prove that \begin{eqnarray} \lim\limits_{p\rightarrow +\infty }||f||_{L^p}=||f||_{L^\infty}. \end{eqnarray}

How come the product $V\times\{0\}$ is measurable with $V$ non measurable?

For every r>0, there is a vitali set having outer measure less than r

Measure of a set under diffeomorphism

Lebesgue decomposition and Radon-Nikodym derivative

Finding a set in Borel sigma algebra given a set in Lebesgue measurable space

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