The sobolev embeddings are usually sharp
Stéphane Jaffard, Aurélia Fraysse · DOAJ (DOAJ: Directory of Open Access Journals) · 2005
Let x0∈â„Âd; we study the Hölder regularity at x0 of a generic function of the Sobolev space Lp,s(â„Âd) and of the Besov space Bps,q(â„Âd) for s−d/p>0. The setting for genericity is supplied here by HP-residual sets.