Higher Order Sobolev-Type Spaces on the Real Line
This paper gives a characterization of Sobolev functions on the real line by means of pointwise inequalities involving finite differences. This is also shown to apply to more general Orlicz-Sobolev, Lorentz-Sobolev, and Lorentz-Karamata-Sobolev spaces.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/261565 |
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| _version_ | 1832556834783756288 |
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| author | Bogdan Bojarski Juha Kinnunen Thomas Zürcher |
| author_facet | Bogdan Bojarski Juha Kinnunen Thomas Zürcher |
| author_sort | Bogdan Bojarski |
| collection | DOAJ |
| description | This paper gives a characterization of Sobolev functions on the real line by means of pointwise inequalities involving finite differences. This is also shown to apply to more general Orlicz-Sobolev, Lorentz-Sobolev, and Lorentz-Karamata-Sobolev spaces. |
| format | Article |
| id | doaj-art-93f4d59cd7934e39934bc7efb9867664 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-93f4d59cd7934e39934bc7efb98676642025-02-03T05:44:16ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/261565261565Higher Order Sobolev-Type Spaces on the Real LineBogdan Bojarski0Juha Kinnunen1Thomas Zürcher2Institute of Mathematics, Polish Academy of Sciences, 00-956 Warsaw, PolandDepartment of Mathematics, School of Science and Technology, Aalto University, P.O. Box 11100, 00076 Aalto, FinlandDepartment of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), 40014 Jyväskylä, FinlandThis paper gives a characterization of Sobolev functions on the real line by means of pointwise inequalities involving finite differences. This is also shown to apply to more general Orlicz-Sobolev, Lorentz-Sobolev, and Lorentz-Karamata-Sobolev spaces.http://dx.doi.org/10.1155/2014/261565 |
| spellingShingle | Bogdan Bojarski Juha Kinnunen Thomas Zürcher Higher Order Sobolev-Type Spaces on the Real Line Journal of Function Spaces |
| title | Higher Order Sobolev-Type Spaces on the Real Line |
| title_full | Higher Order Sobolev-Type Spaces on the Real Line |
| title_fullStr | Higher Order Sobolev-Type Spaces on the Real Line |
| title_full_unstemmed | Higher Order Sobolev-Type Spaces on the Real Line |
| title_short | Higher Order Sobolev-Type Spaces on the Real Line |
| title_sort | higher order sobolev type spaces on the real line |
| url | http://dx.doi.org/10.1155/2014/261565 |
| work_keys_str_mv | AT bogdanbojarski higherordersobolevtypespacesontherealline AT juhakinnunen higherordersobolevtypespacesontherealline AT thomaszurcher higherordersobolevtypespacesontherealline |