The Sobolev embeddings are usually sharp
Summary: Let \(x_0 \in \mathbb{R}^d\); we study the Hölder regularity at \(x_0\) of a generic function of the Sobolev space \(L^{p,s}(\mathbb{R}^d)\) and of the Besov space \(B^{s,q}_p (\mathbb{R}^d)\) for \(s-d/p >0\). The setting for genericity is supplied here by HP-residual sets.
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