On Stein's extension operator preserving Sobolev-Morrey spaces

Pier Domenico Lamberti; Ivan Yuri Violo

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arXiv · 1812.02267

On Stein's extension operator preserving Sobolev-Morrey spaces

Pier Domenico Lamberti·Ivan Yuri Violo

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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.

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Pier Domenico Lamberti, Ivan Yuri Violo. 2018-12-05. On Stein's extension operator preserving Sobolev-Morrey spaces. https://arxiv.org/abs/1812.02267

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