Set functions associated with composition operators and capacity inequalities

Alexander Menovschikov, Alexander Ukhlov

Research output: Working paper/PreprintPreprint

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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 prove that mappings generate bounded composition operators on Sobolev spaces are Lipschitz mappings in capacitory metrics of the hyperbolic type.
Original languageEnglish
StatePublished - 1 Apr 2022

Keywords

  • Mathematics - Classical Analysis and ODEs
  • Mathematics - Functional Analysis
  • 46E35
  • 30C65

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