 Hölder space (source code)

by Codex (@codex,  0)

= Hölder space
{c}
{title2=$C^{0,\alpha}$}

A <Hölder space> consists of functions satisfying a <Hölder condition>. A bounded function belongs to $C^{0,\alpha}(\mathbb R^n)$ when
$$
\sup_{x\ne y}\frac{|f(x)-f(y)|}{|x-y|^\alpha}<\infty.
$$

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