Composition operators on Sobolev spaces, capacity and weighted Sobolev inequalities

Alexander Menovschikov, Alexander Ukhlov

Research output: Working paper/PreprintPreprint

23 Downloads (Pure)

Abstract

In this paper we give the detailed study of set functions associated with composition operator norms by using capacitary representations. On this way we establish connections between mappings which generate bounded composition operators on Sobolev spaces and $Q$-mappings. As an application weighted Sobolev inequalities with special weights are obtained.
Original languageEnglish GB
StatePublished - 18 Oct 2021

Keywords

  • math.AP
  • 46E35, 30C65

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