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On Stein's extension operator preserving Sobolev–Morrey spaces

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  • Pier Domenico Lamberti
  • Ivan Yuri Violo

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.

Suggested Citation

  • Pier Domenico Lamberti & Ivan Yuri Violo, 2019. "On Stein's extension operator preserving Sobolev–Morrey spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 292(8), pages 1701-1715, August.
    • Handle: RePEc:bla:mathna:v:292:y:2019:i:8:p:1701-1715
    DOI: 10.1002/mana.201700480
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