Capacities in Generalized Orlicz Spaces

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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Bibliographic Details
Main Authors: Debangana Baruah, Petteri Harjulehto, Peter Hästö
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/8459874
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