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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Characterizing Besov spaces in terms of p-variation
For $s>1/p$ the Besov space $B_{p,q}^s([0,1])$ can be characterized in terms of the $p$-variation:
Let $p,q \in (1,\infty)$ and $s \in (0,1)$, $s>1/p$. A function $f:[0,1] \to \mathbb{R}$ is in $B_{p …