New posts in holder-spaces

Characterization of $C^{k,\alpha}$ (functions with Hölder continuous derivatives) through Taylor estimates

real-analysis derivatives holder-spaces stochastic-pde

Hölder continuity definition through distributions.

functional-analysis distribution-theory holder-spaces stochastic-pde

Hölder continuous functions are of 1st category in $C[0,1]$

real-analysis general-topology functional-analysis baire-category holder-spaces

Dini's continuity vs Holder continuity

analysis continuity examples-counterexamples holder-spaces

$f$ Holder continuous with Holder exponent $p>1\implies f \text{ is constant}$

real-analysis continuity holder-spaces

$f$ is a real function and it is $\alpha$-Holder continuous with $\alpha>1$. Is $f$ constant?

real-analysis holder-spaces

Show polynomial is a Lipschitz function

real-analysis polynomials holder-spaces

Prove that Cantor function is Hölder continuous

real-analysis measure-theory holder-spaces

Approximate Holder continuous functions by smooth functions

real-analysis partial-differential-equations approximation holder-spaces

Prove an interpolation inequality

holder-spaces

Norm on a Hölder's space

real-analysis functional-analysis holder-spaces

Let the function $f:[a,b] \to \mathbb R$ be Lipschitz. Show that $f$ maps a set of measure zero onto a set of measure zero

real-analysis holder-spaces

The Relation between Holder continuous, absolutely continuous, $W^{1,1}$, and $BV$ functions

sobolev-spaces bounded-variation holder-spaces

A uniform continuous function which is not Hölder continuous

real-analysis continuity holder-spaces

Elliptic Regularity Theorem

functional-analysis partial-differential-equations sobolev-spaces holder-spaces

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

analysis continuity holder-spaces

Absolute convergence of Fourier series of a Hölder continuous function

fourier-analysis fourier-series holder-spaces

Proving that a Hölder space is a Banach space

real-analysis functional-analysis banach-spaces holder-spaces

Geometric intepretation of Holder continuous functions?

functional-analysis partial-differential-equations continuity holder-spaces

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

real-analysis measure-theory reference-request holder-spaces