Remarks on Sobolev--Morrey--Campanato spaces defined on $C^{0,\gamma}$ domains

P. D. Lamberti ; V. Vespri

Eurasian mathematical journal, Tome 10 (2019) no. 4, pp. 47-62.

Résumé

We discuss a few old results concerning embedding theorems for Campanato and Sobolev–Morrey spaces adapting the formulations to the case of domains of class $C^{0,\gamma}$, and we present more recent results concerning the extension of functions from Sobolev–Morrey spaces defined on those domains. As a corollary of the extension theorem we obtain an embedding theorem for Sobolev–Morrey spaces on arbitrary $C^{0,\gamma}$ domains.

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