Question

Borel measure absolutely continuous wrt Lebesgue integral

score 546 · Answer 1 · 2017-12-07 07:39:28

546

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Borel measure absolutely continuous wrt Lebesgue integral

Published on 07 Dec 2017 - 7:39

score 1.3k · Answer 2 · 2017-12-10 21:09:14

1.3k

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Change of Variables in Lebesgue Integration

Published on 10 Dec 2017 - 21:09

score 833 · Answer 3 · 2017-12-18 03:25:24

833

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If $f$ has derivative in $L^p(\mathbb{R})$, then it is absolutely continuous in any bounded interval

Published on 18 Dec 2017 - 3:25

score 8.1k · Answer 4 · 2010-09-14 21:46:05

8.1k

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Continuous and bounded variation does not imply absolutely continuous

Published on 14 Sep 2010 - 21:46

score 2.1k · Answer 5 · 2012-02-12 20:40:12

2.1k

Views

Sobolev space and equivalence of norms

Published on 12 Feb 2012 - 20:40

score 13.6k · Answer 6 · 2012-03-28 06:23:40

13.6k

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Why is the Cantor function not absolutely continuous?

Published on 28 Mar 2012 - 6:23

score 2k · Answer 7 · 2012-09-13 08:52:10

2k

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Composition of two absolute functions

Published on 13 Sep 2012 - 8:52

score 8.1k · Answer 8 · 2012-12-02 00:47:12

8.1k

Views

$u\in W^{1,p}(0,1)$ is equal a.e. to an absolutely continuous function?

Published on 02 Dec 2012 - 0:47

score 2.7k · Answer 9 · 2012-12-25 01:20:21

2.7k

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Absolute continuity inside the interval extends to the endpoint of the interval under some constraints

Published on 25 Dec 2012 - 1:20

score 50 · Answer 10 · 2020-07-31 15:54:38

50

Views

$f$ absolutely continuous and $f'\in L^3[0,1]$, which values of $\alpha $ does $\lim_{x\rightarrow 0^+} x^{-\alpha}f(x)=0$?

Published on 31 Jul 2020 - 15:54

score 442 · Answer 11 · 2020-08-03 13:40:52

442

Views

Approximation of Dirac measure by absolutely continuous measures (w.r.t. Lebesgue measure)

Published on 03 Aug 2020 - 13:40

score 82 · Answer 12 · 2020-08-03 20:50:05

82

Views

Proving absolute continuity of the laplace transform

Published on 03 Aug 2020 - 20:50

score 274 · Answer 13 · 2020-08-05 23:12:48

274

Views

Absolutely continuous on every closed interval iff $\int_{\mathbb{R}}f'(t)dt = 1$

Published on 05 Aug 2020 - 23:12

score 195 · Answer 14 · 2020-08-06 02:15:12

195

Views

Absolutely continuous functions that fix zero and satisfies $f'(x)=2f(x)$

Published on 06 Aug 2020 - 2:15

score 100 · Answer 15 · 2020-08-13 21:23:45

100

Views

$m^*(f(E))\leq\int_E|g'(x)|dx$ for absolutely continuous function $f$

Published on 13 Aug 2020 - 21:23

List Question

Borel measure absolutely continuous wrt Lebesgue integral

Change of Variables in Lebesgue Integration

If $f$ has derivative in $L^p(\mathbb{R})$, then it is absolutely continuous in any bounded interval

Continuous and bounded variation does not imply absolutely continuous

Sobolev space and equivalence of norms

Why is the Cantor function not absolutely continuous?

Composition of two absolute functions

$u\in W^{1,p}(0,1)$ is equal a.e. to an absolutely continuous function?

Absolute continuity inside the interval extends to the endpoint of the interval under some constraints

$f$ absolutely continuous and $f'\in L^3[0,1]$, which values of $\alpha $ does $\lim_{x\rightarrow 0^+} x^{-\alpha}f(x)=0$?

Approximation of Dirac measure by absolutely continuous measures (w.r.t. Lebesgue measure)

Proving absolute continuity of the laplace transform

Absolutely continuous on every closed interval iff $\int_{\mathbb{R}}f'(t)dt = 1$

Absolutely continuous functions that fix zero and satisfies $f'(x)=2f(x)$

$m^*(f(E))\leq\int_E|g'(x)|dx$ for absolutely continuous function $f$

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