Question

Checking if a function induces a measure, and if it does, calculating an explicit integral

score 38 · Answer 1 · 2018-05-06 02:42:23

38

Views

Checking if a function induces a measure, and if it does, calculating an explicit integral

Published on 06 May 2018 - 2:42

score 226 · Answer 2 · 2026-03-25 17:33:52

226

Views

Showing that $f(x) = \frac{1}{\sqrt x \ (|1+lnx|)} \chi_{(0,\infty)}$ is in $L^p_\mu \mathbb{(R)}$ iff $p=2$

Published on 25 Mar 2026 - 17:33

score 249 · Answer 3 · 2018-05-06 15:31:36

249

Views

$f(x+1)=f(x)$ almost everywhere

Published on 06 May 2018 - 15:31

score 212 · Answer 4 · 2018-05-07 05:07:28

212

Views

Infinity of positive integers and lebesgue's measure zero

Published on 07 May 2018 - 5:07

score 105 · Answer 5 · 2018-05-07 10:21:31

105

Views

Counter-intuitive zero measure thorem

Published on 07 May 2018 - 10:21

score 180 · Answer 6 · 2018-05-08 13:26:35

180

Views

Let $E \subset \mathbb{R}$ a null-set. Show that the subset $ \{(x,y) \in \mathbb{R}^2:x-y \in E \}$ is measurable

Published on 08 May 2018 - 13:26

score 91 · Answer 7 · 2026-03-25 12:00:25

91

Views

Measurable and lebesgue measurable sets

Published on 25 Mar 2026 - 12:00

score 1.2k · Answer 8 · 2018-05-08 18:18:10

1.2k

Views

Examples which show $\|\cdot\|_p$ on $L^p$ is not induced by an inner product (Parallelogram law)

Published on 08 May 2018 - 18:18

score 125 · Answer 9 · 2018-05-09 16:10:31

125

Views

Can this proof be applied to C1-functions

Published on 09 May 2018 - 16:10

score 295 · Answer 10 · 2018-05-09 19:01:28

295

Views

Is this proof of the measure zero property of a straight line in $\mathbb{R}^{2}$ correct?

Published on 09 May 2018 - 19:01

score 76 · Answer 11 · 2018-05-09 20:08:03

76

Views

Lebesgue monotone convergence: step functions w/o choice

Published on 09 May 2018 - 20:08

score 41 · Answer 12 · 2018-05-10 21:05:34

41

Views

Difference between measures and relationship to standard pdfs

Published on 10 May 2018 - 21:05

score 172 · Answer 13 · 2026-03-25 07:48:23

172

Views

Measure of a decreasing union of circles

Published on 25 Mar 2026 - 7:48

score 170 · Answer 14 · 2026-03-25 12:54:11

170

Views

Lebesgue outer measure intervals may all be assumed to be open

Published on 25 Mar 2026 - 12:54

score 451 · Answer 15 · 2018-05-12 13:42:00

451

Views

Every Lebesgue measurable set of measure $m$ contains a measurable subset of size $n < m$?

Published on 12 May 2018 - 13:42

List Question

Checking if a function induces a measure, and if it does, calculating an explicit integral

Showing that $f(x) = \frac{1}{\sqrt x \ (|1+lnx|)} \chi_{(0,\infty)}$ is in $L^p_\mu \mathbb{(R)}$ iff $p=2$

$f(x+1)=f(x)$ almost everywhere

Infinity of positive integers and lebesgue's measure zero

Counter-intuitive zero measure thorem

Let $E \subset \mathbb{R}$ a null-set. Show that the subset $ \{(x,y) \in \mathbb{R}^2:x-y \in E \}$ is measurable

Measurable and lebesgue measurable sets

Examples which show $\|\cdot\|_p$ on $L^p$ is not induced by an inner product (Parallelogram law)

Can this proof be applied to C1-functions

Is this proof of the measure zero property of a straight line in $\mathbb{R}^{2}$ correct?

Lebesgue monotone convergence: step functions w/o choice

Difference between measures and relationship to standard pdfs

Measure of a decreasing union of circles

Lebesgue outer measure intervals may all be assumed to be open

Every Lebesgue measurable set of measure $m$ contains a measurable subset of size $n < m$?

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