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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/8459874 |
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| _version_ | 1832563450697482240 |
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| author | Debangana Baruah Petteri Harjulehto Peter Hästö |
| author_facet | Debangana Baruah Petteri Harjulehto Peter Hästö |
| author_sort | Debangana Baruah |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b3b9edbdbfe34667905399648e4f89f0 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b3b9edbdbfe34667905399648e4f89f02025-02-03T01:20:13ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/84598748459874Capacities in Generalized Orlicz SpacesDebangana Baruah0Petteri Harjulehto1Peter Hästö2Department of Mathematics and Statistics, 20014, University of Turku, FinlandDepartment of Mathematics and Statistics, 20014, University of Turku, FinlandDepartment of Mathematics and Statistics, 20014, University of Turku, FinlandIn 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.http://dx.doi.org/10.1155/2018/8459874 |
| spellingShingle | Debangana Baruah Petteri Harjulehto Peter Hästö Capacities in Generalized Orlicz Spaces Journal of Function Spaces |
| title | Capacities in Generalized Orlicz Spaces |
| title_full | Capacities in Generalized Orlicz Spaces |
| title_fullStr | Capacities in Generalized Orlicz Spaces |
| title_full_unstemmed | Capacities in Generalized Orlicz Spaces |
| title_short | Capacities in Generalized Orlicz Spaces |
| title_sort | capacities in generalized orlicz spaces |
| url | http://dx.doi.org/10.1155/2018/8459874 |
| work_keys_str_mv | AT debanganabaruah capacitiesingeneralizedorliczspaces AT petteriharjulehto capacitiesingeneralizedorliczspaces AT peterhasto capacitiesingeneralizedorliczspaces |