Question

Lebesgue measure of a set bounded by two spheres

score 79 · Answer 1 · 2018-03-05 18:55:33

79

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Lebesgue measure of a set bounded by two spheres

Published on 05 Mar 2018 - 18:55

score 383 · Answer 2 · 2026-03-22 05:47:19

383

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Lebesgue measure of a semi-algebraic set

Published on 22 Mar 2026 - 5:47

score 47 · Answer 3 · 2018-03-07 09:12:51

47

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$\int f d\delta_y = f(y)$ if $f$ is real-valued and $\delta_y$ is the point mass at $y$

Published on 07 Mar 2018 - 9:12

score 257 · Answer 4 · 2018-03-07 16:00:18

257

Views

$m^*(A)=0$ then there exists Borel measurable sets $B$ and $C$ such that $A=B-C$.

Published on 07 Mar 2018 - 16:00

score 275 · Answer 5 · 2018-03-08 02:01:35

275

Views

Metric Density always zero or one?

Published on 08 Mar 2018 - 2:01

score 730 · Answer 6 · 2018-03-08 09:32:52

730

Views

Proving that for $E_1\subset E_2\subset...\ \lim\limits_{n\rightarrow\infty}E_n=\bigcup\limits_{n=0}^{\infty}E_n$ and working with measure/limit/sets

Published on 08 Mar 2018 - 9:32

score 27 · Answer 7 · 2018-03-08 10:06:22

27

Views

show that the integral exists if and only if λ ((A ∪ B)^c ∩ J) = 0

Published on 08 Mar 2018 - 10:06

score 90 · Answer 8 · 2018-03-08 13:29:53

90

Views

Lebesgue measure of sum $ X + Y$ is infinite

Published on 08 Mar 2018 - 13:29

score 1k · Answer 9 · 2018-03-08 21:29:17

1k

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How to prove that $L^{\infty}([0,1]) \subset L^q([0,1]) \subset L^p([0,1])$?

Published on 08 Mar 2018 - 21:29

score 182 · Answer 10 · 2018-03-09 09:15:51

182

Views

How to prove the outer measure of a compact set in Rn is the infimum of sums of volumes of closed cubes?

Published on 09 Mar 2018 - 9:15

score 1.4k · Answer 11 · 2018-03-10 00:33:10

1.4k

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Concept of infimum of covers in Lebesgue outer measure

Published on 10 Mar 2018 - 0:33

score 305 · Answer 12 · 2018-03-10 16:05:27

305

Views

Divide a finite measure set into two part of equal measure using one hyperplane in R^n.

Published on 10 Mar 2018 - 16:05

score 1k · Answer 13 · 2018-03-10 19:24:09

1k

Views

Proving the Lebesgue measure is $\sigma$-finite for any dimension

Published on 10 Mar 2018 - 19:24

score 339 · Answer 14 · 2018-03-11 10:59:03

339

Views

Prove that there is exist Lebesgue measurable and non Borel measurable sets.

Published on 11 Mar 2018 - 10:59

score 426 · Answer 15 · 2026-03-24 22:16:06

426

Views

Explaining the proof of $||f||_q \leq ||f||_p \mu (X)^{\frac{1}{q} - \frac{1}{p}}$

Published on 24 Mar 2026 - 22:16

List Question

Lebesgue measure of a set bounded by two spheres

Lebesgue measure of a semi-algebraic set

$\int f d\delta_y = f(y)$ if $f$ is real-valued and $\delta_y$ is the point mass at $y$

$m^*(A)=0$ then there exists Borel measurable sets $B$ and $C$ such that $A=B-C$.

Metric Density always zero or one?

Proving that for $E_1\subset E_2\subset...\ \lim\limits_{n\rightarrow\infty}E_n=\bigcup\limits_{n=0}^{\infty}E_n$ and working with measure/limit/sets

show that the integral exists if and only if λ ((A ∪ B)^c ∩ J) = 0

Lebesgue measure of sum $ X + Y$ is infinite

How to prove that $L^{\infty}([0,1]) \subset L^q([0,1]) \subset L^p([0,1])$?

How to prove the outer measure of a compact set in Rn is the infimum of sums of volumes of closed cubes?

Concept of infimum of covers in Lebesgue outer measure

Divide a finite measure set into two part of equal measure using one hyperplane in R^n.

Proving the Lebesgue measure is $\sigma$-finite for any dimension

Prove that there is exist Lebesgue measurable and non Borel measurable sets.

Explaining the proof of $||f||_q \leq ||f||_p \mu (X)^{\frac{1}{q} - \frac{1}{p}}$

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