Question

Suppose that $F,G \in NBV$ and $-\infty <a<b< \infty$, how show that

score 184 · Answer 1 · 2026-04-16 21:21:11

184

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Suppose that $F,G \in NBV$ and $-\infty <a<b< \infty$, how show that

Published on 16 Apr 2026 - 21:21

score 233 · Answer 2 · 2026-05-10 14:05:58

233

Views

Show $\mathcal{B}( \mathbb R)$ contains all countable subsets of $\mathbb R$

Published on 10 May 2026 - 14:05

score 177 · Answer 3 · 2026-04-13 23:44:15

177

Views

Show that a given measure is equal to the Lebesgue measure on Borel subsets on $\mathbb{R}$

Published on 13 Apr 2026 - 23:44

score 194 · Answer 4 · 2026-04-15 19:32:35

194

Views

How to calculate $\int_{0}^ 1 \int_{0}^ 1 \frac{1}{(1-xy)^ p} dxdy$ with $p>0$.

Published on 15 Apr 2026 - 19:32

score 357 · Answer 5 · 2026-04-09 07:34:03

357

Views

An exercise from Stein's Real Analysis about Lebesgue integral

Published on 09 Apr 2026 - 7:34

score 84 · Answer 6 · 2026-05-10 14:40:35

84

Views

If either $f_n \longrightarrow f $ almost everywhere OR $f_n \longrightarrow f$

Published on 10 May 2026 - 14:40

score 69 · Answer 7 · 2026-04-12 00:33:27

69

Views

probability measure of Random Variable on probability space

Published on 12 Apr 2026 - 0:33

score 948 · Answer 8 · 2026-04-14 20:06:06

948

Views

Improper integral $\int_0^\infty \cos(x^2)$ exists but $\cos(x^2)$ is not Lebesgue integrable

Published on 14 Apr 2026 - 20:06

score 190 · Answer 9 · 2026-04-11 11:00:10

190

Views

Lebesgue integral (measure zero)

Published on 11 Apr 2026 - 11:00

score 631 · Answer 10 · 2026-04-12 21:33:24

631

Views

Folland Exercise 3.17

Published on 12 Apr 2026 - 21:33

score 145 · Answer 11 · 2026-05-11 03:17:08

145

Views

If $A, B \in [m,n] \subseteq \mathbb{R}$ are sets of measure zero, then is $AB = \{ab | a \in A, b \in B\}$ measure zero?

Published on 11 May 2026 - 3:17

score 271 · Answer 12 · 2026-04-14 21:58:21

271

Views

Lebesgue integral of a set (union)

Published on 14 Apr 2026 - 21:58

score 97 · Answer 13 · 2026-04-15 03:39:34

97

Views

Questions on differentiability of $F(x)=\int_{0}^x f(t)dt$, where $f$ is locally integrable

Published on 15 Apr 2026 - 3:39

score 337 · Answer 14 · 2026-05-04 22:18:29

337

Views

Doubt about the topological space of Measurable Functions

Published on 04 May 2026 - 22:18

score 305 · Answer 15 · 2026-04-09 06:04:25

305

Views

Measure theory: on absolutely continuous measures

Published on 09 Apr 2026 - 6:04

List Question

Suppose that $F,G \in NBV$ and $-\infty <a<b< \infty$, how show that

Show $\mathcal{B}( \mathbb R)$ contains all countable subsets of $\mathbb R$

Show that a given measure is equal to the Lebesgue measure on Borel subsets on $\mathbb{R}$

How to calculate $\int_{0}^ 1 \int_{0}^ 1 \frac{1}{(1-xy)^ p} dxdy$ with $p>0$.

An exercise from Stein's Real Analysis about Lebesgue integral

If either $f_n \longrightarrow f $ almost everywhere OR $f_n \longrightarrow f$

probability measure of Random Variable on probability space

Improper integral $\int_0^\infty \cos(x^2)$ exists but $\cos(x^2)$ is not Lebesgue integrable

Lebesgue integral (measure zero)

Folland Exercise 3.17

If $A, B \in [m,n] \subseteq \mathbb{R}$ are sets of measure zero, then is $AB = \{ab | a \in A, b \in B\}$ measure zero?

Lebesgue integral of a set (union)

Questions on differentiability of $F(x)=\int_{0}^x f(t)dt$, where $f$ is locally integrable

Doubt about the topological space of Measurable Functions

Measure theory: on absolutely continuous measures

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