TY - UNPB
T1 - Set functions associated with composition operators and capacity inequalities
AU - Menovschikov, Alexander
AU - Ukhlov, Alexander
PY - 2022/4/27
Y1 - 2022/4/27
N2 - 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.
AB - 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.
KW - Mathematics - Classical Analysis and ODEs
KW - Mathematics - Functional Analysis
KW - 46E35
KW - 30C65
U2 - 10.48550/arXiv.2205.04856
DO - 10.48550/arXiv.2205.04856
M3 - Preprint
BT - Set functions associated with composition operators and capacity inequalities
ER -