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Capacities in generalized Orlicz spaces |
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| Author: | Baruah, Debangana1; Harjulehto, Petteri1; Hästö, Peter1,2 |
| Organizations: |
1Department of Mathematics and Statistics, University of Turku 2Department of Mathematics, University of Oulu |
| Format: | article |
| Version: | published version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 1.4 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2018112648990 |
| Language: | English |
| Published: |
Hindawi,
2018
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| Publish Date: | 2018-11-26 |
| Description: |
AbstractIn 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. see all
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| Series: |
Journal of function spaces |
| ISSN: | 2314-8896 |
| ISSN-E: | 2314-8888 |
| ISSN-L: | 2314-8896 |
| Volume: | 2018 |
| Article number: | 8459874 |
| DOI: | 10.1155/2018/8459874 |
| OADOI: | https://oadoi.org/10.1155/2018/8459874 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Funding: |
Debangana Baruah was supported financially by the University of Turku Graduate School MATTI-program. |
| Copyright information: |
Copyright © 2018 Debangana Baruah et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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https://creativecommons.org/licenses/by/4.0/ |