Question

Why is the maximal domain $D_\text{max}$ of a Sturm-Liouville operator defined the way it is?

score 127 · Answer 1 · 2022-02-12 13:37:42

127

Views

Why is the maximal domain $D_\text{max}$ of a Sturm-Liouville operator defined the way it is?

Published on 12 Feb 2022 - 13:37

score 187 · Answer 2 · 2022-02-14 21:04:24

187

Views

Are these functions Absolute Continuous? (continuous nowhere-differentiable functions)

Published on 14 Feb 2022 - 21:04

score 272 · Answer 3 · 2022-02-19 14:27:29

272

Views

Is $f(x)=x\sin(1/x)$ with $f(0)=0$ of bounded variation on $[0,1]$? - Problem with abs. continuous

Published on 19 Feb 2022 - 14:27

score 268 · Answer 4 · 2022-02-19 20:16:54

268

Views

A continuous bounded variation function in $[0,1]$ that is absolutely continuous in $(a,1]$, but is not in $[0,1]$

Published on 19 Feb 2022 - 20:16

score 100 · Answer 5 · 2022-02-21 01:02:11

100

Views

An increasing absolutely continuous function s.t. $f'(x)=\infty$ in $A$

Published on 21 Feb 2022 - 1:02

score 166 · Answer 6 · 2026-02-23 04:44:31

166

Views

Link between Riesz p-variation and absolute continuity

Published on 23 Feb 2026 - 4:44

score 273 · Answer 7 · 2022-03-20 14:38:48

273

Views

If $X$ is an absolutely continuous random variable, and $g$ is Borel measurable then when is $g\circ X$ absolutely continuous

Published on 20 Mar 2022 - 14:38

score 154 · Answer 8 · 2022-04-03 08:17:56

154

Views

How can I show that the Sobolev space $W_p^1 (a,b)$ is closed?

Published on 03 Apr 2022 - 8:17

score 73 · Answer 9 · 2022-04-25 03:56:09

73

Views

If a real-valued $f(t)$ is absolute continuous on a domain $[a,\,b]$, Does it imply it is also absolute integrable $\int_a^b |f(t)|dt < \infty$?

Published on 25 Apr 2022 - 3:56

score 436 · Answer 10 · 2022-05-02 08:50:47

436

Views

Definition of local absolute continuity

Published on 02 May 2022 - 8:50

score 53 · Answer 11 · 2022-05-20 13:24:50

53

Views

Upper right Dini derivative and indefinite integral

Published on 20 May 2022 - 13:24

score 130 · Answer 12 · 2026-02-24 02:48:43

130

Views

Continuity of Kullback-Leibler Divergence/Relative Entropy

Published on 24 Feb 2026 - 2:48

score 79 · Answer 13 · 2022-06-01 11:27:19

79

Views

Topological analog of Lusin -N property .

Published on 01 Jun 2022 - 11:27

score 125 · Answer 14 · 2022-06-01 17:59:47

125

Views

If $v \ll \mu$ and $v \perp \mu$, then $v=0$

Published on 01 Jun 2022 - 17:59

score 107 · Answer 15 · 2022-06-07 08:20:13

107

Views

Reference: Sufficient condition of absolute continuity w.r.t. Lebesgue measure

Published on 07 Jun 2022 - 8:20

List Question

Why is the maximal domain $D_\text{max}$ of a Sturm-Liouville operator defined the way it is?

Are these functions Absolute Continuous? (continuous nowhere-differentiable functions)

Is $f(x)=x\sin(1/x)$ with $f(0)=0$ of bounded variation on $[0,1]$? - Problem with abs. continuous

A continuous bounded variation function in $[0,1]$ that is absolutely continuous in $(a,1]$, but is not in $[0,1]$

An increasing absolutely continuous function s.t. $f'(x)=\infty$ in $A$

Link between Riesz p-variation and absolute continuity

If $X$ is an absolutely continuous random variable, and $g$ is Borel measurable then when is $g\circ X$ absolutely continuous

How can I show that the Sobolev space $W_p^1 (a,b)$ is closed?

If a real-valued $f(t)$ is absolute continuous on a domain $[a,\,b]$, Does it imply it is also absolute integrable $\int_a^b |f(t)|dt < \infty$?

Definition of local absolute continuity

Upper right Dini derivative and indefinite integral

Continuity of Kullback-Leibler Divergence/Relative Entropy

Topological analog of Lusin -N property .

If $v \ll \mu$ and $v \perp \mu$, then $v=0$

Reference: Sufficient condition of absolute continuity w.r.t. Lebesgue measure

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