Refereed journal article or data article (A1)
Capacities in Generalized Orlicz Spaces
List of Authors: Debangana Baruah, Petteri Harjulehto, Peter Hästö
Publisher: HINDAWI LTD
Publication year: 2018
Journal: Journal of Function Spaces
Journal name in source: JOURNAL OF FUNCTION SPACES
Journal acronym: J FUNCT SPACE
Number of pages: 10
ISSN: 2314-8896
eISSN: 2314-8888
DOI: http://dx.doi.org/10.1155/2018/8459874
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/36726550
Abstract
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.
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.
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