Question

Multiplicative constant in inclusions of Hölder spaces

score 90 · Answer 1 · 2026-04-12 08:12:53

90

Views

Multiplicative constant in inclusions of Hölder spaces

Published on 12 Apr 2026 - 8:12

score 837 · Answer 2 · 2026-04-16 05:10:39

837

Views

Show that the set of uniformly Lipschitz functions vanishing at $0$ is compact in $C[0,1]$

Published on 16 Apr 2026 - 5:10

score 186 · Answer 3 · 2026-04-11 14:05:58

186

Views

Holder continuity using Sobolev imbedding

Published on 11 Apr 2026 - 14:05

score 1.1k · Answer 4 · 2026-04-15 07:53:23

1.1k

Views

The function $f(x) = x^\alpha $ belongs to the Lipschitz class of order $\alpha$

Published on 15 Apr 2026 - 7:53

score 172 · Answer 5 · 2026-04-11 01:08:53

172

Views

Proving a basic result about Holder continuous functions

Published on 11 Apr 2026 - 1:08

score 120 · Answer 6 · 2026-03-25 10:55:25

120

Views

Are bounded sequences in $C^{1,\alpha}(B_1)$ precompact in $C^{1,\beta}(B_1)$ for $\alpha>\beta$?

Published on 25 Mar 2026 - 10:55

score 21 · Answer 7 · 2026-03-25 10:58:57

21

Views

If $f \in C_{u}(U \times [0,T])$ then is it true that $f(\cdot,t) \in C_{u}([0,T])$?

Published on 25 Mar 2026 - 10:58

score 605 · Answer 8 · 2026-03-25 10:57:08

605

Views

Boundedness of Riesz Transform on (subsets of) Hölder spaces?

Published on 25 Mar 2026 - 10:57

score 230 · Answer 9 · 2026-05-10 14:02:55

230

Views

Difference quotient for Hölder continuous functions

Published on 10 May 2026 - 14:02

score 229 · Answer 10 · 2026-03-25 12:13:45

229

Views

Holder equivalent metrics

Published on 25 Mar 2026 - 12:13

score 88 · Answer 11 · 2026-03-25 10:57:27

88

Views

Show that the set of $\alpha$-H$\ddot{\text{o}}$lder continuous functions is a Banach space

Published on 25 Mar 2026 - 10:57

score 458 · Answer 12 · 2026-03-25 10:57:16

458

Views

Convergence of Lipschitz functions in $L^\infty$ implies the convergence in $H^{1}$

Published on 25 Mar 2026 - 10:57

score 274 · Answer 13 · 2026-03-25 10:57:23

274

Views

If a path is nowhere Holder continuous for any rational $\gamma> 1/2$ then it is nowhere Holder continuous for any $\gamma > 1/2$

Published on 25 Mar 2026 - 10:57

score 391 · Answer 14 · 2026-03-25 10:52:45

391

Views

When is $x^a\sin (x^{-b}) $ $\alpha$-Hölder Continuous on $[0,1]$?

Published on 25 Mar 2026 - 10:52

score 155 · Answer 15 · 2026-05-11 04:10:22

155

Views

Holder semi norm estimate for a solution of Poisson's equation in the half space

Published on 11 May 2026 - 4:10

List Question

Multiplicative constant in inclusions of Hölder spaces

Show that the set of uniformly Lipschitz functions vanishing at $0$ is compact in $C[0,1]$

Holder continuity using Sobolev imbedding

The function $f(x) = x^\alpha $ belongs to the Lipschitz class of order $\alpha$

Proving a basic result about Holder continuous functions

Are bounded sequences in $C^{1,\alpha}(B_1)$ precompact in $C^{1,\beta}(B_1)$ for $\alpha>\beta$?

If $f \in C_{u}(U \times [0,T])$ then is it true that $f(\cdot,t) \in C_{u}([0,T])$?

Boundedness of Riesz Transform on (subsets of) Hölder spaces?

Difference quotient for Hölder continuous functions

Holder equivalent metrics

Show that the set of $\alpha$-H$\ddot{\text{o}}$lder continuous functions is a Banach space

Convergence of Lipschitz functions in $L^\infty$ implies the convergence in $H^{1}$

If a path is nowhere Holder continuous for any rational $\gamma> 1/2$ then it is nowhere Holder continuous for any $\gamma > 1/2$

When is $x^a\sin (x^{-b}) $ $\alpha$-Hölder Continuous on $[0,1]$?

Holder semi norm estimate for a solution of Poisson's equation in the half space

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