Question

A possible interpretations of real-valued function $u(x,t)$ as a Banach space-valued function $u(t)(x)$?

score 150 · Answer 1 · 2019-06-07 17:27:21

150

Views

A possible interpretations of real-valued function $u(x,t)$ as a Banach space-valued function $u(t)(x)$?

Published on 07 Jun 2019 - 17:27

score 377 · Answer 2 · 2019-06-09 23:31:12

377

Views

function of that is not of bounded variation

Published on 09 Jun 2019 - 23:31

score 906 · Answer 3 · 2026-03-25 16:14:03

906

Views

Existence of $\int_a^bf\,dg$ when $f,g \not\in BV([a,b])$

Published on 25 Mar 2026 - 16:14

score 49 · Answer 4 · 2026-02-23 04:57:24

49

Views

Prove $|\int_\mathbb{R} F(x)\varphi'(x)\,dx|\leq A$ where $F$ has bounded variation on $\mathbb{R}$ and $\varphi\in C^1$.

Published on 23 Feb 2026 - 4:57

score 71 · Answer 5 · 2019-07-07 19:42:04

71

Views

Find functions $f,g \in BV([0,1])$ with $f/g \not \in BV([0,1])$.

Published on 07 Jul 2019 - 19:42

score 51 · Answer 6 · 2019-07-12 14:15:11

51

Views

Unbounded variation $\frac{1}{x}$

Published on 12 Jul 2019 - 14:15

score 130 · Answer 7 · 2026-03-25 07:42:37

130

Views

Bounded superposition operator in the space of bounded variation functions

Published on 25 Mar 2026 - 7:42

score 39 · Answer 8 · 2019-08-08 13:15:57

39

Views

If $f(t)$ and $g(t)$ have bounded variation on $[0,1]$, then $\{(f(t),g(t)):t \in [0,1]\}$ cannot contain $[0,1]\times [0,1]$.

Published on 08 Aug 2019 - 13:15

score 220 · Answer 9 · 2019-08-09 15:51:38

220

Views

A composition of Functions of BV are Measurable

Published on 09 Aug 2019 - 15:51

score 29 · Answer 10 · 2019-08-13 13:34:38

29

Views

Is an operator-valued function of bounded variation if and only if it is the difference of nondecreasing functions?

Published on 13 Aug 2019 - 13:34

score 855 · Answer 11 · 2019-08-14 10:15:13

855

Views

Make a function that is not of bounded variation on $[a,b]$

Published on 14 Aug 2019 - 10:15

score 105 · Answer 12 · 2019-08-14 13:39:49

105

Views

Finite difference approximations of derivatives of polynomials of BV functions

Published on 14 Aug 2019 - 13:39

score 177 · Answer 13 · 2019-08-22 09:40:13

177

Views

If the cardinality of $f^{-1}$ is at most $f(x)^2$ then $f$ is differentiable almost everywhere.

Published on 22 Aug 2019 - 9:40

score 42 · Answer 14 · 2019-08-31 19:27:50

42

Views

Bounds on expected absolute difference of ''logistic functions'' like random variable

Published on 31 Aug 2019 - 19:27

score 122 · Answer 15 · 2019-09-04 05:53:12

122

Views

Bounded Variation of $\max\{f,g\}$

Published on 04 Sep 2019 - 5:53

List Question

A possible interpretations of real-valued function $u(x,t)$ as a Banach space-valued function $u(t)(x)$?

function of that is not of bounded variation

Existence of $\int_a^bf\,dg$ when $f,g \not\in BV([a,b])$

Prove $|\int_\mathbb{R} F(x)\varphi'(x)\,dx|\leq A$ where $F$ has bounded variation on $\mathbb{R}$ and $\varphi\in C^1$.

Find functions $f,g \in BV([0,1])$ with $f/g \not \in BV([0,1])$.

Unbounded variation $\frac{1}{x}$

Bounded superposition operator in the space of bounded variation functions

If $f(t)$ and $g(t)$ have bounded variation on $[0,1]$, then $\{(f(t),g(t)):t \in [0,1]\}$ cannot contain $[0,1]\times [0,1]$.

A composition of Functions of BV are Measurable

Is an operator-valued function of bounded variation if and only if it is the difference of nondecreasing functions?

Make a function that is not of bounded variation on $[a,b]$

Finite difference approximations of derivatives of polynomials of BV functions

If the cardinality of $f^{-1}$ is at most $f(x)^2$ then $f$ is differentiable almost everywhere.

Bounds on expected absolute difference of ''logistic functions'' like random variable

Bounded Variation of $\max\{f,g\}$

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