We prove that Burenkov’s extension operator preserves Sobolev spaces built on generalMorrey spaces, including classical Morrey spaces. The analysis concerns bounded and unbounded open sets with Lipschitz boundaries in the n-dimensional Euclidean space.

On Burenkov's extension operator preserving Sobolev–Morrey spaces on Lipschitz domains

LAMBERTI, PIER DOMENICO
2017

Abstract

We prove that Burenkov’s extension operator preserves Sobolev spaces built on generalMorrey spaces, including classical Morrey spaces. The analysis concerns bounded and unbounded open sets with Lipschitz boundaries in the n-dimensional Euclidean space.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3227597
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