List questions from absolute-continuity

Published on 12 May 2021 - 20:50

123

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How to prove that $W^n_p[0,1]$ is a Banach space?

Published on 13 May 2021 - 5:56

189

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Sufficient conditions for absolute continuity of a function on $[0,1]$.

Published on 13 May 2021 - 15:51

82

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Book analysis on metric spaces and geodesics.

Published on 20 May 2021 - 9:59

72

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Absolute continuity and Titchmarsh-Kodaira theorem

Published on 21 May 2021 - 9:29

843

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Prove that $x^2|\sin(\frac1x)|$ is absolutely continuous on $[0,1]$

Published on 21 May 2021 - 11:02

202

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$f\in L^2(\mathbb{R})$ is absolutely continuous and $f' \in L^2(\mathbb{R})$ if and only if $\int |y\hat{f}(y)|^2dy<\infty$

Published on 25 May 2021 - 12:02

73

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If $\nu \ll \mu$ and $\mu$ is finite, does it implies that $\nu$ is also finite?

Published on 03 Jun 2021 - 14:53

181

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Existence of nowhere monotone, absolutely continuous function?

Published on 03 Jun 2021 - 15:12

60

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Fault in a wrong proof (uniform continuity implies absolute continuity)

Published on 09 Jun 2021 - 14:30

90

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$L^q$ Spectrum of absolutely continuous measures

Published on 13 Jun 2021 - 8:19

252

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Proving absolute continuity/uniform continuity of $-\log^{-1}(x)$

Published on 21 Jun 2021 - 17:55

50

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Bounding the total variation of an Absolute Continuous function

Published on 27 Jun 2021 - 17:48

285

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Cantor curve is not absolutely continuous

Published on 01 Jul 2021 - 16:59

56

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Showing that $f(x) = \sqrt{x}\sin(\sqrt{x})$ is absolutely continuous on $[0,1]$

Published on 11 Jul 2021 - 9:53

List Question

If a function g is absolutely continuous, is 1/g absolutely continuous?

How to prove that $W^n_p[0,1]$ is a Banach space?

Sufficient conditions for absolute continuity of a function on $[0,1]$.

Book analysis on metric spaces and geodesics.

Absolute continuity and Titchmarsh-Kodaira theorem

Prove that $x^2|\sin(\frac1x)|$ is absolutely continuous on $[0,1]$

$f\in L^2(\mathbb{R})$ is absolutely continuous and $f' \in L^2(\mathbb{R})$ if and only if $\int |y\hat{f}(y)|^2dy<\infty$

If $\nu \ll \mu$ and $\mu$ is finite, does it implies that $\nu$ is also finite?

Existence of nowhere monotone, absolutely continuous function?

Fault in a wrong proof (uniform continuity implies absolute continuity)

$L^q$ Spectrum of absolutely continuous measures

Proving absolute continuity/uniform continuity of $-\log^{-1}(x)$

Bounding the total variation of an Absolute Continuous function

Cantor curve is not absolutely continuous

Showing that $f(x) = \sqrt{x}\sin(\sqrt{x})$ is absolutely continuous on $[0,1]$

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