Question

Prove $D^{+}(F)(x)$ is measurable

score 130 · Answer 1 · 2026-04-16 08:30:01

130

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Prove $D^{+}(F)(x)$ is measurable

Published on 16 Apr 2026 - 8:30

score 54 · Answer 2 · 2026-04-11 19:17:17

54

Views

existence of a nonnegative function with unbounded integral

Published on 11 Apr 2026 - 19:17

score 198 · Answer 3 · 2026-04-11 03:19:21

198

Views

Making a upper bound for the integral of integrable functions

Published on 11 Apr 2026 - 3:19

score 125 · Answer 4 · 2026-04-11 10:31:12

125

Views

How to prove the existence of continous functions who approximates Lebesgue integrable?

Published on 11 Apr 2026 - 10:31

score 62 · Answer 5 · 2026-04-14 20:27:36

62

Views

Give an example of a function that satisfy $\int_a^bf'(x)dx < f(b)-f(a)$ in Lebesgue's theorem

Published on 14 Apr 2026 - 20:27

score 60 · Answer 6 · 2026-04-17 12:24:02

60

Views

Regarding $X \sim N_{0,1}$ and $Y = \left( \begin{array}{ccc} X \\ X \end{array} \right)$.

Published on 17 Apr 2026 - 12:24

score 126 · Answer 7 · 2026-04-11 00:52:33

126

Views

Convergence with respect to a specific norm implied by convergence in measure

Published on 11 Apr 2026 - 0:52

score 522 · Answer 8 · 2026-04-16 09:47:23

522

Views

A confusion over the lebesgue outer measure of $(0,1) \cap \mathbb{Q}^c$

Published on 16 Apr 2026 - 9:47

score 209 · Answer 9 · 2026-04-12 01:49:08

209

Views

Integrating over a subset (Real Analysis)

Published on 12 Apr 2026 - 1:49

score 38 · Answer 10 · 2026-04-16 00:22:09

38

Views

$f(x)=\mu([a,x]\cap E )$. Calculate $f'$

Published on 16 Apr 2026 - 0:22

score 139 · Answer 11 · 2026-04-15 17:40:49

139

Views

Show that $m_{2}(f(A))=0$, where $m_{2}$ denotes the two-dimensional Lebesgue measure on $\mathbb{R}^{2}$

Published on 15 Apr 2026 - 17:40

score 581 · Answer 12 · 2026-04-10 18:11:30

581

Views

Equivalence of different criteria for Lebesgue measurability

Published on 10 Apr 2026 - 18:11

score 298 · Answer 13 · 2026-04-13 05:48:37

298

Views

Dirichlet integral $\frac{\sin\ x}{x}$ with lebesgue integration

Published on 13 Apr 2026 - 5:48

score 615 · Answer 14 · 2026-04-11 13:52:53

615

Views

Continuous function with derivative a.e. and Luzin N property is absolutely continuous

Published on 11 Apr 2026 - 13:52

score 133 · Answer 15 · 2026-04-15 19:02:25

133

Views

Prove that for each $\epsilon \in [0,1]$ there is a subsequence such that $m(\cap_{k=1}^{\infty}E_{n_{k}}) \geq \epsilon$.

Published on 15 Apr 2026 - 19:02

List Question

Prove $D^{+}(F)(x)$ is measurable

existence of a nonnegative function with unbounded integral

Making a upper bound for the integral of integrable functions

How to prove the existence of continous functions who approximates Lebesgue integrable?

Give an example of a function that satisfy $\int_a^bf'(x)dx < f(b)-f(a)$ in Lebesgue's theorem

Regarding $X \sim N_{0,1}$ and $Y = \left( \begin{array}{ccc} X \\ X \end{array} \right)$.

Convergence with respect to a specific norm implied by convergence in measure

A confusion over the lebesgue outer measure of $(0,1) \cap \mathbb{Q}^c$

Integrating over a subset (Real Analysis)

$f(x)=\mu([a,x]\cap E )$. Calculate $f'$

Show that $m_{2}(f(A))=0$, where $m_{2}$ denotes the two-dimensional Lebesgue measure on $\mathbb{R}^{2}$

Equivalence of different criteria for Lebesgue measurability

Dirichlet integral $\frac{\sin\ x}{x}$ with lebesgue integration

Continuous function with derivative a.e. and Luzin N property is absolutely continuous

Prove that for each $\epsilon \in [0,1]$ there is a subsequence such that $m(\cap_{k=1}^{\infty}E_{n_{k}}) \geq \epsilon$.

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