Question

Lateral derivatives of Cantor-like functions

score 39 · Answer 1 · 2026-04-10 23:22:50

39

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Lateral derivatives of Cantor-like functions

Published on 10 Apr 2026 - 23:22

score 353 · Answer 2 · 2026-04-09 21:20:54

353

Views

Radon Nikodym derivative of a restriction of a measure.

Published on 09 Apr 2026 - 21:20

score 852 · Answer 3 · 2026-04-05 20:06:17

852

Views

Example of a bounded linear functional $T:L^ \infty \to \mathbb{R}$ which cannot be expressed by an integral $\int_{[a,b]}fg$ for an integrable $f$

Published on 05 Apr 2026 - 20:06

score 132 · Answer 4 · 2026-04-12 14:36:34

132

Views

Lebesgue points and convolution

Published on 12 Apr 2026 - 14:36

score 64 · Answer 5 · 2026-04-05 21:52:32

64

Views

Let $f \in L^2[0,\infty)$ be a continuous, positive and decreasing function, then $\lim_{x\to \infty}\sqrt{x}f(x)=0$

Published on 05 Apr 2026 - 21:52

score 40 · Answer 6 · 2026-04-09 19:06:21

40

Views

what is extended measure?

Published on 09 Apr 2026 - 19:06

score 32 · Answer 7 · 2026-04-09 15:22:31

32

Views

Time spent above 0 for time-changed càdlàg functions

Published on 09 Apr 2026 - 15:22

score 38 · Answer 8 · 2026-04-13 11:08:04

38

Views

Which measure is this?

Published on 13 Apr 2026 - 11:08

score 342 · Answer 9 · 2026-04-13 05:45:53

342

Views

Difference between probability measure and outer measure

Published on 13 Apr 2026 - 5:45

score 414 · Answer 10 · 2026-04-13 07:05:34

414

Views

Average squared distance between two points on a disk

Published on 13 Apr 2026 - 7:05

score 18 · Answer 11 · 2026-04-05 21:50:12

18

Views

$0<C<1$, show $\exists \delta_n \to 0$ s.t if $A_k, 1\leq k\leq n$ and $\lambda(A_k)=C$ then $\lambda(A_i\cap A_j)\geq(1-\delta_n)C^2$ for some $i,j$

Published on 05 Apr 2026 - 21:50

score 45 · Answer 12 · 2026-04-05 21:50:12

45

Views

Let $f \in C^1(\mathbb{R})$ and $f\in L^1([0,\infty))$ compute limits, reminiscent of Riemann-Lebesgue lemma

Published on 05 Apr 2026 - 21:50

score 86 · Answer 13 · 2020-04-26 16:39:42

86

Views

$L_{x}f=f$ for all $x \in \mathbb{R}$ implies $f=0$

Published on 26 Apr 2020 - 16:39

score 108 · Answer 14 · 2020-04-26 17:33:38

108

Views

Example of a pointwise bounded sequence of measurable functions

Published on 26 Apr 2020 - 17:33

score 88 · Answer 15 · 2026-04-12 14:53:39

88

Views

non - measurable subset of $\mathbb{R}$

Published on 12 Apr 2026 - 14:53

List Question

Lateral derivatives of Cantor-like functions

Radon Nikodym derivative of a restriction of a measure.

Example of a bounded linear functional $T:L^ \infty \to \mathbb{R}$ which cannot be expressed by an integral $\int_{[a,b]}fg$ for an integrable $f$

Lebesgue points and convolution

Let $f \in L^2[0,\infty)$ be a continuous, positive and decreasing function, then $\lim_{x\to \infty}\sqrt{x}f(x)=0$

what is extended measure?

Time spent above 0 for time-changed càdlàg functions

Which measure is this?

Difference between probability measure and outer measure

Average squared distance between two points on a disk

$0<C<1$, show $\exists \delta_n \to 0$ s.t if $A_k, 1\leq k\leq n$ and $\lambda(A_k)=C$ then $\lambda(A_i\cap A_j)\geq(1-\delta_n)C^2$ for some $i,j$

Let $f \in C^1(\mathbb{R})$ and $f\in L^1([0,\infty))$ compute limits, reminiscent of Riemann-Lebesgue lemma

$L_{x}f=f$ for all $x \in \mathbb{R}$ implies $f=0$

Example of a pointwise bounded sequence of measurable functions

non - measurable subset of $\mathbb{R}$

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