Question

An inequality related to a Borel measurable function

score 52 · Answer 1 · 2016-11-17 22:47:15

52

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An inequality related to a Borel measurable function

Published on 17 Nov 2016 - 22:47

score 654 · Answer 2 · 2016-11-18 20:07:31

654

Views

Application of Fubini-Tonelli Theorem

Published on 18 Nov 2016 - 20:07

score 161 · Answer 3 · 2016-11-19 05:26:45

161

Views

Equivalence of Lebesgue measurability condition

Published on 19 Nov 2016 - 5:26

score 97 · Answer 4 · 2026-04-06 17:51:52

97

Views

Null divergence of magnetic field: a mathematical approach

Published on 06 Apr 2026 - 17:51

score 70 · Answer 5 · 2016-11-20 14:23:02

70

Views

Asking for some hints for this real analysis question

Published on 20 Nov 2016 - 14:23

score 111 · Answer 6 · 2016-11-21 06:22:35

111

Views

Show that $f \in L(X, \textbf{X}, \mu)$ and $\int f d\mu = 0$

Published on 21 Nov 2016 - 6:22

score 49 · Answer 7 · 2016-11-21 17:56:41

49

Views

Maximize the integral over sets of a fixed volume

Published on 21 Nov 2016 - 17:56

score 585 · Answer 8 · 2016-11-21 19:47:00

585

Views

Lebesgue dominated convergence integral

Published on 21 Nov 2016 - 19:47

score 294 · Answer 9 · 2016-11-22 09:41:17

294

Views

Proving a Lebesgue integral exists: $\int_0^{\pi/2}\left(\frac{1}{2(e^x -1)}-\frac{1}{\tan(x)\sin(x)}\right)d\lambda(x)$

Published on 22 Nov 2016 - 9:41

score 204 · Answer 10 · 2016-11-24 09:57:32

204

Views

Nondecreasing, singular function fails a weaker condition than absolutely continuous

Published on 24 Nov 2016 - 9:57

score 661 · Answer 11 · 2016-11-24 20:08:18

661

Views

Could convergence in measure imply converge almost everywhere for the entire sequence and not just sub-sequence here?

Published on 24 Nov 2016 - 20:08

score 74 · Answer 12 · 2016-11-25 01:44:07

74

Views

For what $\alpha \in \mathbb R$ is $\int_{\{\mathbf{|x|} \in \mathbb{R}^d : \mathbf{|x|} \le 1\}} \mathbf{|x|^{- \alpha}} dm(\mathbf{x})$ finite?

Published on 25 Nov 2016 - 1:44

score 757 · Answer 13 · 2026-04-04 03:49:39

757

Views

Rudin Real and Complex Analysis Chapter 2 Exercise 15 Generalization

Published on 04 Apr 2026 - 3:49

score 919 · Answer 14 · 2016-11-26 22:13:58

919

Views

$f$ is lebesgue integrable iff $f_+$ and $f_{-}$ are Lebesgue integrable

Published on 26 Nov 2016 - 22:13

score 191 · Answer 15 · 2016-11-27 06:28:31

191

Views

Compute the following Lebesgue integral $\int_{[0,\pi/2]}fd\mu$

Published on 27 Nov 2016 - 6:28

List Question

An inequality related to a Borel measurable function

Application of Fubini-Tonelli Theorem

Equivalence of Lebesgue measurability condition

Null divergence of magnetic field: a mathematical approach

Asking for some hints for this real analysis question

Show that $f \in L(X, \textbf{X}, \mu)$ and $\int f d\mu = 0$

Maximize the integral over sets of a fixed volume

Lebesgue dominated convergence integral

Proving a Lebesgue integral exists: $\int_0^{\pi/2}\left(\frac{1}{2(e^x -1)}-\frac{1}{\tan(x)\sin(x)}\right)d\lambda(x)$

Nondecreasing, singular function fails a weaker condition than absolutely continuous

Could convergence in measure imply converge almost everywhere for the entire sequence and not just sub-sequence here?

For what $\alpha \in \mathbb R$ is $\int_{\{\mathbf{|x|} \in \mathbb{R}^d : \mathbf{|x|} \le 1\}} \mathbf{|x|^{- \alpha}} dm(\mathbf{x})$ finite?

Rudin Real and Complex Analysis Chapter 2 Exercise 15 Generalization

$f$ is lebesgue integrable iff $f_+$ and $f_{-}$ are Lebesgue integrable

Compute the following Lebesgue integral $\int_{[0,\pi/2]}fd\mu$

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