List questions from holder-spaces

Published on 22 Mar 2026 - 21:05

182

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Holder seminorm of log inequality

Published on 22 Mar 2026 - 2:46

128

Views

Is it a equivalent semi norm in Campanato space?

Published on 23 Mar 2026 - 10:54

97

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Finite dimensionality of the "deRham cohomology" defined using $C^{k,\alpha}$ forms instead of smooth forms.

Published on 22 Mar 2026 - 23:45

543

Views

Question on definition of $\;\alpha-$Holder norms

Published on 23 Mar 2026 - 1:14

276

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Piecewise Holder functions

Published on 22 Mar 2026 - 13:21

837

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What is little Holder space?

Published on 22 Mar 2026 - 22:32

74

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What about an approximation of the Hölder's constant associated to $\sum_{n=0}^\infty\gamma^n\cos(11^n\pi x)$, where $\gamma$ is the Euler's constant?

Published on 22 Mar 2026 - 21:39

1.6k

Views

Is the power of a Holder continuous function still Holder continuous?

Published on 22 Mar 2026 - 20:59

623

Views

Does taking a fractional derivative remove a fractional amount of Holder regularity?

Published on 22 Mar 2026 - 21:28

271

Views

Embedding of weighted Holder space into $L^p$

Published on 17 Mar 2026 - 8:07

125

Views

Arzela-Ascoli argument on a partition

Published on 19 Mar 2026 - 23:33

509

Views

Showing that if a function between metric spaces has Hölder exponent $\alpha > 1$, this function must be constant

Published on 24 Mar 2026 - 5:18

128

Views

Showing that an operator between Hölder spaces is a contraction

Published on 23 Mar 2026 - 1:02

76

Views

Estimating a difference with a Riemann-Stieltjes integral.

Published on 23 Mar 2026 - 2:58

List Question

Embeddings between Hölder spaces $ C^{0,\beta} \hookrightarrow C^{0, \alpha} .$

Holder seminorm of log inequality

Is it a equivalent semi norm in Campanato space?

Finite dimensionality of the "deRham cohomology" defined using $C^{k,\alpha}$ forms instead of smooth forms.

Question on definition of $\;\alpha-$Holder norms

Piecewise Holder functions

What is little Holder space?

What about an approximation of the Hölder's constant associated to $\sum_{n=0}^\infty\gamma^n\cos(11^n\pi x)$, where $\gamma$ is the Euler's constant?

Is the power of a Holder continuous function still Holder continuous?

Does taking a fractional derivative remove a fractional amount of Holder regularity?

Embedding of weighted Holder space into $L^p$

Arzela-Ascoli argument on a partition

Showing that if a function between metric spaces has Hölder exponent $\alpha > 1$, this function must be constant

Showing that an operator between Hölder spaces is a contraction

Estimating a difference with a Riemann-Stieltjes integral.

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