List questions from holder-spaces

Published on 24 Mar 2026 - 5:11

72

Views

Prove that $\,C^1 \subset H_1 \subset H_\mu\,$ (Hölder Space)

Published on 06 Mar 2016 - 13:26

212

Views

initial value problems and non- uniqueness of solution (doesn't satisfy Lipschitz condition)

Published on 24 Mar 2016 - 22:45

63

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Estimation with Hölder condition

Published on 04 Apr 2016 - 22:29

213

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Is this function Hölder continuous?

Published on 11 Apr 2016 - 16:36

121

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The $Hol$ operator is a continuous function?

Published on 11 Apr 2016 - 16:37

325

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Showing any bounded sequence in Holder space $C^{1/2}$ has a convergent subsequence in Holder space $C^{1/3}.$

Published on 30 May 2016 - 23:30

118

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Let $X=\left\{ f:[0,1]\to\mathbb R \;\big|\; \lVert f\rVert_X<\infty,\ f(0)=0\right\}$. Show $(X,\lVert\cdot\rVert_X)$ is complete.

Published on 06 Jun 2016 - 12:38

783

Views

Morrey's inequality for Sobolev spaces of fractional order

Published on 10 Jun 2016 - 17:54

347

Views

Reverse Holder continuity

Published on 15 Jun 2016 - 0:50

66

Views

Singular integral operator on a decay Hölder space

Published on 25 Mar 2026 - 10:15

1.8k

Views

Is a function with bounded Holder continuous derivatives itself "more" than just Lipschitz continuous.?

Published on 05 Apr 2013 - 14:48

527

Views

Polynomials not dense in holder spaces

Published on 13 Apr 2013 - 16:57

9.2k

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Function on $[a,b]$ that satisfies a Hölder condition of order $\alpha > 1 $ is constant

Published on 14 Apr 2013 - 16:14

7.7k

Views

Show polynomial is a Lipschitz function

Published on 15 Apr 2013 - 21:55

List Question

About the proof of De Giorgi Theorem

Prove that $\,C^1 \subset H_1 \subset H_\mu\,$ (Hölder Space)

initial value problems and non- uniqueness of solution (doesn't satisfy Lipschitz condition)

Estimation with Hölder condition

Is this function Hölder continuous?

The $Hol$ operator is a continuous function?

Showing any bounded sequence in Holder space $C^{1/2}$ has a convergent subsequence in Holder space $C^{1/3}.$

Let $X=\left\{ f:[0,1]\to\mathbb R \;\big|\; \lVert f\rVert_X<\infty,\ f(0)=0\right\}$. Show $(X,\lVert\cdot\rVert_X)$ is complete.

Morrey's inequality for Sobolev spaces of fractional order

Reverse Holder continuity

Singular integral operator on a decay Hölder space

Is a function with bounded Holder continuous derivatives itself "more" than just Lipschitz continuous.?

Polynomials not dense in holder spaces

Function on $[a,b]$ that satisfies a Hölder condition of order $\alpha > 1 $ is constant

Show polynomial is a Lipschitz function

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