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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