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arXiv · 2001.11916

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

Pier Domenico Lamberti·Vincenzo Vespri
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Abstract

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 $C^{0,γ}$, 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 Sobolev-Morrey spaces on arbitrary $C^{0,γ}$ domains.

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Pier Domenico Lamberti, Vincenzo Vespri. 2020-01-31. Remarks on Sobolev-Morrey-Campanato spaces defined on $C^{0,γ}$ domains. https://doi.org/10.32523/2077-9879-2019-10-4-47-62

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