Capacities in Generalized Orlicz Spaces
: Debangana Baruah, Petteri Harjulehto, Peter Hästö
Publisher: HINDAWI LTD
: 2018
: Journal of Function Spaces
: JOURNAL OF FUNCTION SPACES
: J FUNCT SPACE
: ARTN 8459874
: 10
: 2314-8896
: 2314-8888
DOI: https://doi.org/10.1155/2018/8459874
: https://research.utu.fi/converis/portal/detail/Publication/36726550
In this paper basic properties of both Sobolev and relative capacities are studied in generalized Orlicz spaces. The capacities are compared with each other and the Hausdorff measure. As an application, the existence of quasicontinuous representative of generalized Orlicz functions is proved.