New posts in Holder Spaces

Smoothness of quotient of Holder continuous functions, provided the decay

Existence of a function behaving like $s^\beta$ everywhere ($\beta\in(0,1)$)

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

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

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

Proving that a Hölder space is a Banach space

Proving that $f(x) = \vert x \vert^{\alpha}$ is Holder continuous, inequality help

$\sqrt{x}$ isn't Lipschitz function

How to show that every $\alpha$-Hölder function, with $\alpha>1$, is constant?

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