List questions from holder-spaces

106

Views

How can we show $C_c^\infty(\Omega)\subseteq C^{0,\:\alpha}(\overline\Omega)$ for all $\alpha\in(0,1]$?

Published on 16 Jun 2021 - 8:23

237

Views

Show that the composition of these functions is Hölder continuous

Published on 18 Jun 2021 - 14:55

143

Views

Proof that Hölder Space is Banach

Published on 29 Jun 2021 - 18:18

103

Views

How big is the set of Hölder continuous functions?

Published on 30 Jun 2021 - 1:27

28

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Understanding an argument involving Holder spaces

Published on 27 Mar 2026 - 7:40

114

Views

A question on Hölder condition.

Published on 11 Jul 2021 - 20:04

35

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$\overline{C^{\infty}}^{||\cdot||_{\alpha}} \neq C^{\alpha}$; lower bound of $ \frac{|(s-\delta/2)^{\alpha} - s^{\alpha}|}{(\delta/2)^{\alpha}}$

Published on 23 Feb 2026 - 10:20

96

Views

Which Hölder-Spaces on the d-dimensional Torus Ensure Absolute Convergence of Fourier Series?

Published on 28 Mar 2026 - 22:31

86

Views

Definition of semi-norms on $C^{k,r}(\mathbb{R}^n,\mathbb{R}^m)$

Published on 27 Aug 2021 - 12:42

179

Views

Hölder continuous functions from $L^1(\mathbb{R})$

Published on 26 Sep 2021 - 7:28

3.9k

Views

Why Do We Care About Hölder Continuity?

Published on 08 Oct 2021 - 15:37

74

Views

Invert quantificator in Kolmogorov continuity theorem

Published on 22 Oct 2021 - 11:18

162

Views

Composition of $C^{k,\alpha}$ Holder Functions

Published on 02 Dec 2021 - 17:42

387

Views

The sum of Hölder continuous functions is Hölder continuous

Published on 06 Dec 2021 - 13:08

311

Views

What's the definition of $C^\alpha$ norm of a tensor?

Published on 18 Dec 2021 - 1:29

List Question

How can we show $C_c^\infty(\Omega)\subseteq C^{0,\:\alpha}(\overline\Omega)$ for all $\alpha\in(0,1]$?

Show that the composition of these functions is Hölder continuous

Proof that Hölder Space is Banach

How big is the set of Hölder continuous functions?

Understanding an argument involving Holder spaces

A question on Hölder condition.

$\overline{C^{\infty}}^{||\cdot||_{\alpha}} \neq C^{\alpha}$; lower bound of $ \frac{|(s-\delta/2)^{\alpha} - s^{\alpha}|}{(\delta/2)^{\alpha}}$

Which Hölder-Spaces on the d-dimensional Torus Ensure Absolute Convergence of Fourier Series?

Definition of semi-norms on $C^{k,r}(\mathbb{R}^n,\mathbb{R}^m)$

Hölder continuous functions from $L^1(\mathbb{R})$

Why Do We Care About Hölder Continuity?

Invert quantificator in Kolmogorov continuity theorem

Composition of $C^{k,\alpha}$ Holder Functions

The sum of Hölder continuous functions is Hölder continuous

What's the definition of $C^\alpha$ norm of a tensor?

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