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 language | English |
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State | Published - 1 Apr 2022 |
Keywords
- Mathematics - Classical Analysis and ODEs
- Mathematics - Functional Analysis
- 46E35
- 30C65