Question

If $ \Omega $ is a bounded domain, is a $ BV(\Omega) $ function also $ L^\infty(\Omega) $?

score 597 · Answer 1 · 2017-09-06 08:47:06

597

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If $ \Omega $ is a bounded domain, is a $ BV(\Omega) $ function also $ L^\infty(\Omega) $?

Published on 06 Sep 2017 - 8:47

score 38 · Answer 2 · 2017-09-24 20:16:17

38

Views

A reference on Total Variation and its applications in Image Processing

Published on 24 Sep 2017 - 20:16

score 754 · Answer 3 · 2017-11-12 23:59:35

754

Views

Derivative of total variation

Published on 12 Nov 2017 - 23:59

score 650 · Answer 4 · 2017-11-30 17:37:08

650

Views

The old and modern definitions of total variation are actually equivalent?

Published on 30 Nov 2017 - 17:37

score 538 · Answer 5 · 2017-12-03 11:22:41

538

Views

When the total variation of a function equals the integral of its gradient

Published on 03 Dec 2017 - 11:22

score 84 · Answer 6 · 2017-12-04 21:48:18

84

Views

On searching conditions, other than the continuity of $f,$ under which $ \lim_{\mu (P) \rightarrow 0} V(f,P) = V_a^b f $ is also valid.

Published on 04 Dec 2017 - 21:48

score 663 · Answer 7 · 2017-12-14 13:51:57

663

Views

$|\mu|(E) = \sup\{|\int_E f\,d\mu | ; |f|\leq 1 \}$, total variation of a measure.

Published on 14 Dec 2017 - 13:51

score 244 · Answer 8 · 2018-01-06 19:50:03

244

Views

Bounded variation along given sequence of subdivisions

Published on 06 Jan 2018 - 19:50

score 836 · Answer 9 · 2013-01-02 16:11:07

836

Views

Least Squares with Total Variation Regularization - How to Set the Lambda ($ \lambda $) Parameter?

Published on 02 Jan 2013 - 16:11

score 39 · Answer 10 · 2020-08-10 21:27:36

39

Views

Total variation regularization superior to classical quadratic choice

Published on 10 Aug 2020 - 21:27

score 60 · Answer 11 · 2026-03-25 11:16:39

60

Views

Show that $\{h d \mu: h \in \mathcal{L}^1(\mu)\}$ is a closed subset of $M(\mathcal{S})$

Published on 25 Mar 2026 - 11:16

score 234 · Answer 12 · 2020-08-25 18:23:19

234

Views

Total Variation in multidimension

Published on 25 Aug 2020 - 18:23

score 130 · Answer 13 · 2020-08-25 21:12:19

130

Views

Complex vs. Real Total-variation Norms of Real Radon Measures

Published on 25 Aug 2020 - 21:12

score 294 · Answer 14 · 2020-08-28 20:57:19

294

Views

Folland complex measures total variation definition

Published on 28 Aug 2020 - 20:57

score 252 · Answer 15 · 2020-08-29 02:07:44

252

Views

Pinsker's Inequality for Metric Spaces!

Published on 29 Aug 2020 - 2:07

List Question

If $ \Omega $ is a bounded domain, is a $ BV(\Omega) $ function also $ L^\infty(\Omega) $?

A reference on Total Variation and its applications in Image Processing

Derivative of total variation

The old and modern definitions of total variation are actually equivalent?

When the total variation of a function equals the integral of its gradient

On searching conditions, other than the continuity of $f,$ under which $ \lim_{\mu (P) \rightarrow 0} V(f,P) = V_a^b f $ is also valid.

$|\mu|(E) = \sup\{|\int_E f\,d\mu | ; |f|\leq 1 \}$, total variation of a measure.

Bounded variation along given sequence of subdivisions

Least Squares with Total Variation Regularization - How to Set the Lambda ($ \lambda $) Parameter?

Total variation regularization superior to classical quadratic choice

Show that $\{h d \mu: h \in \mathcal{L}^1(\mu)\}$ is a closed subset of $M(\mathcal{S})$

Total Variation in multidimension

Complex vs. Real Total-variation Norms of Real Radon Measures

Folland complex measures total variation definition

Pinsker's Inequality for Metric Spaces!

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