On Stein's extension operator preserving Sobolev–Morrey spaces

Pier Domenico Lamberti and Ivan Yuri Violo

Mathematische Nachrichten, 2019, vol. 292, issue 8, 1701-1715

Abstract: We prove that Stein's extension operator preserves Sobolev–Morrey spaces, that is spaces of functions with weak derivatives in Morrey spaces. The analysis concerns classical and generalized Morrey spaces on bounded and unbounded domains with Lipschitz boundaries in the n‐dimensional Euclidean space.

Date: 2019
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https://doi.org/10.1002/mana.201700480

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