List questions from absolute-continuity

Published on 06 Jan 2021 - 6:40

105

Views

product of $L^2$ function and its $L^2$ derivative

Published on 08 Jan 2021 - 22:06

693

Views

Suppose $f,g$ are two absolutely continous functions in an interval $[a,b]$. Show $fg \in AC[a,b]$.

Published on 28 Jan 2021 - 16:31

54

Views

Absolute continuity of probability measure

Published on 06 Feb 2021 - 0:05

215

Views

Differentiable but not absolutely continuous cumulative distribution function

Published on 08 Feb 2021 - 2:33

71

Views

Can a piecewise $C^1$ mapping can define an absolutely continuous function

Published on 15 Feb 2021 - 9:28

30

Views

BV[a,b]$\cap$C[a,b]$\neq$AC[a,b]

Published on 23 Feb 2021 - 8:05

24

Views

Is $g(x)=\int_a^x (x-s)^{-\alpha}f(s) \, ds\in AC[a,b]$ if $f\in L_1[a,b]$ and $\alpha\in (0,1)$?

Published on 28 Feb 2021 - 17:26

1k

Views

What is the most general Carathéodory-type global existence theorem?

Published on 13 Mar 2021 - 12:54

70

Views

Prove if $f$ is Riesz p-variation then $f$ is absolutely continous and $f' \in Lp$.

Published on 02 Apr 2021 - 17:02

1.8k

Views

The definition of Absolute Continuous function

Published on 12 Apr 2021 - 21:16

176

Views

Are absolutely continuous functions analytic?

Published on 13 Apr 2021 - 1:27

104

Views

Absolute continuity of $g(x) = \int_{-\infty}^{\infty} \frac{\cos(xy^3)}{1+y^2}dy$.

Published on 18 Apr 2021 - 18:26

251

Views

Absolute Continuous Function is bounded?

Published on 19 Apr 2021 - 11:17

157

Views

Breaking a real valued increasing function into absolutely continuous, continuous and jump function

Published on 02 May 2021 - 0:30

List Question

if $\lim_{h\to 0} \frac{1}{h}\int_0^1|f(x+h)-f(x)|=0$ then $f$ is constant a.e

product of $L^2$ function and its $L^2$ derivative

Suppose $f,g$ are two absolutely continous functions in an interval $[a,b]$. Show $fg \in AC[a,b]$.

Absolute continuity of probability measure

Differentiable but not absolutely continuous cumulative distribution function

Can a piecewise $C^1$ mapping can define an absolutely continuous function

BV[a,b]$\cap$C[a,b]$\neq$AC[a,b]

Is $g(x)=\int_a^x (x-s)^{-\alpha}f(s) \, ds\in AC[a,b]$ if $f\in L_1[a,b]$ and $\alpha\in (0,1)$?

What is the most general Carathéodory-type global existence theorem?

Prove if $f$ is Riesz p-variation then $f$ is absolutely continous and $f' \in Lp$.

The definition of Absolute Continuous function

Are absolutely continuous functions analytic?

Absolute continuity of $g(x) = \int_{-\infty}^{\infty} \frac{\cos(xy^3)}{1+y^2}dy$.

Absolute Continuous Function is bounded?

Breaking a real valued increasing function into absolutely continuous, continuous and jump function

Trending Questions

Popular # Hahtags

Popular Questions