REMARKS ON SOBOLEV-MORREY-CAMPANATO SPACES DEFINED ON C^{0,γ} DOMAINS

We discuss a few old results concerning embedding theorems for Campanato and SobolevMorrey spaces adapting the formulations to the case of domains of class C^{0,γ} , 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 SobolevMorrey spaces on arbitrary C^{0,γ} domains.