List questions from holder-spaces

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Is a continuous function a continuous operator on the space of Hölder functions?

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Proving inequality using Hölder condition

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Image of a null set by a Hölder continuous function

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prove that when : $(a+b)(c+d)(x+y)≥(\sqrt[3]{acx}+\sqrt[3]{bdy})^3$

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Holder continuity for $\alpha$ but not $\alpha+\varepsilon$?

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Why is this space contained in the Hölder-space.(little Hölder-space)

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Hölder continuity definition through distributions.

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Is this some kind of Holder's inequality?

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Definition of the space of Hölder continuous functions

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Function $f$ such that $|f(x)-f(y)| \ge \sqrt{|x-y|}$

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Does the regularity of a function say anything about the regularity of the domain?

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Fundamental Theorem of Calculus for distributions.

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Boundedness in $C^{0,\sigma}(I,H^{l-2\sigma}(\mathbb{R}^n))$ by interpolation

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If $f$ is in $\mathcal{C}^{1.5}$, is it true that there exists a $C$ such that $|f(x)-f(y)|\leq C |x-y|^{1.5}$

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List Question

proving that $f(x) = x^s$ is holder continuous with holder exponent s

Is a continuous function a continuous operator on the space of Hölder functions?

Proving inequality using Hölder condition

Image of a null set by a Hölder continuous function

prove that when : $(a+b)(c+d)(x+y)≥(\sqrt[3]{acx}+\sqrt[3]{bdy})^3$

Holder continuity for $\alpha$ but not $\alpha+\varepsilon$?

Why is this space contained in the Hölder-space.(little Hölder-space)

Hölder continuity definition through distributions.

Is this some kind of Holder's inequality?

Definition of the space of Hölder continuous functions

Function $f$ such that $|f(x)-f(y)| \ge \sqrt{|x-y|}$

Does the regularity of a function say anything about the regularity of the domain?

Fundamental Theorem of Calculus for distributions.

Boundedness in $C^{0,\sigma}(I,H^{l-2\sigma}(\mathbb{R}^n))$ by interpolation

If $f$ is in $\mathcal{C}^{1.5}$, is it true that there exists a $C$ such that $|f(x)-f(y)|\leq C |x-y|^{1.5}$

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