Question

Showing that the $L^1$-limit of a sequence of uniformly bounded A.C. functions is A.C.

score 329 · Answer 1 · 2017-02-21 13:57:59

329

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Showing that the $L^1$-limit of a sequence of uniformly bounded A.C. functions is A.C.

Published on 21 Feb 2017 - 13:57

score 4.5k · Answer 2 · 2017-02-24 02:09:14

4.5k

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Finding Radon-Nikodym derivative

Published on 24 Feb 2017 - 2:09

score 281 · Answer 3 · 2017-03-12 22:04:41

281

Views

Does there exists an interval in which a non-constant absolutely continuous function is strictly monotone?

Published on 12 Mar 2017 - 22:04

score 363 · Answer 4 · 2017-03-13 18:45:05

363

Views

measures defined by shifting is absolutely continuous with respect to Lebesgue measure

Published on 13 Mar 2017 - 18:45

score 185 · Answer 5 · 2017-03-21 15:30:08

185

Views

Exchange limit and derivative: $\lim_{t\to\infty} f(t)=0$ implies $\lim_{t\to\infty} \frac{d f(t)}{dt}=0$?

Published on 21 Mar 2017 - 15:30

score 37 · Answer 6 · 2023-02-09 16:18:45

37

Views

Show: If a density exists, then the involved measures are absolutely continuous

Published on 09 Feb 2023 - 16:18

score 111 · Answer 7 · 2023-02-10 15:56:13

111

Views

absolutely continuous ($\sigma$-) finite measures

Published on 10 Feb 2023 - 15:56

score 173 · Answer 8 · 2023-02-14 08:51:46

173

Views

Questions about theorem 2.1 and lemma 2.2 in chapter 3 of Stein's Real Analysis

Published on 14 Feb 2023 - 8:51

score 405 · Answer 9 · 2023-02-16 12:03:37

405

Views

When is a cdf absolutely continuous?

Published on 16 Feb 2023 - 12:03

score 60 · Answer 10 · 2023-02-27 21:59:51

60

Views

Absolutely continuous functions send a set of positive derivative and positive measure to a set of positive measure

Published on 27 Feb 2023 - 21:59

score 19 · Answer 11 · 2026-02-23 09:09:18

19

Views

Generalization of absolute continuity to functionals of non-decreasing càdlàg functions

Published on 23 Feb 2026 - 9:09

score 26 · Answer 12 · 2023-03-05 04:33:25

26

Views

Question regarding Lebesgue decomposition of a finite measure

Published on 05 Mar 2023 - 4:33

score 47 · Answer 13 · 2023-03-08 11:14:25

47

Views

How to use $L^2$ Lebesgue density of a measure $\mu$ to conclude that $\mu$ is absolutely continuous w.r.t. the Lebesgue measure?

Published on 08 Mar 2023 - 11:14

score 31 · Answer 14 · 2023-03-10 05:05:02

31

Views

de la Valleé-Poussin's theorem on composition of absolutely continuous functions

Published on 10 Mar 2023 - 5:05

score 30 · Answer 15 · 2023-03-15 06:08:02

30

Views

A question about absolutely continuous measure

Published on 15 Mar 2023 - 6:08

List Question

Showing that the $L^1$-limit of a sequence of uniformly bounded A.C. functions is A.C.

Finding Radon-Nikodym derivative

Does there exists an interval in which a non-constant absolutely continuous function is strictly monotone?

measures defined by shifting is absolutely continuous with respect to Lebesgue measure

Exchange limit and derivative: $\lim_{t\to\infty} f(t)=0$ implies $\lim_{t\to\infty} \frac{d f(t)}{dt}=0$?

Show: If a density exists, then the involved measures are absolutely continuous

absolutely continuous ($\sigma$-) finite measures

Questions about theorem 2.1 and lemma 2.2 in chapter 3 of Stein's Real Analysis

When is a cdf absolutely continuous?

Absolutely continuous functions send a set of positive derivative and positive measure to a set of positive measure

Generalization of absolute continuity to functionals of non-decreasing càdlàg functions

Question regarding Lebesgue decomposition of a finite measure

How to use $L^2$ Lebesgue density of a measure $\mu$ to conclude that $\mu$ is absolutely continuous w.r.t. the Lebesgue measure?

de la Valleé-Poussin's theorem on composition of absolutely continuous functions

A question about absolutely continuous measure

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