Trace theorems for Sobolev-Slobodeckij spaces with or without weights
We prove that the well-known trace theorem for weighted Sobolev spaces holds true under minimal regularity assumptions on the domain. Using this result, we prove the existence of a bounded linear right inverse of the trace operator for Sobolev-Slobodeckij spaces Wps(Ω) when s-1/p is an integer.
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/471535 |
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| _version_ | 1832563564008701952 |
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| author | Doyoon Kim |
| author_facet | Doyoon Kim |
| author_sort | Doyoon Kim |
| collection | DOAJ |
| description | We prove that the well-known trace theorem for weighted Sobolev spaces holds true under minimal regularity assumptions on the domain. Using this result, we prove the existence of a bounded linear right inverse of the trace operator for Sobolev-Slobodeckij spaces Wps(Ω) when s-1/p is an integer. |
| format | Article |
| id | doaj-art-6c883792b67c4485b551f2d2ed6042bc |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-6c883792b67c4485b551f2d2ed6042bc2025-02-03T01:13:13ZengWileyJournal of Function Spaces and Applications0972-68022007-01-015324326810.1155/2007/471535Trace theorems for Sobolev-Slobodeckij spaces with or without weightsDoyoon Kim0Department of Mathematics and Statistics, University of Ottawa, 585 King Edward Avenue, Ottawa, Ontario K1N 6N5, CanadaWe prove that the well-known trace theorem for weighted Sobolev spaces holds true under minimal regularity assumptions on the domain. Using this result, we prove the existence of a bounded linear right inverse of the trace operator for Sobolev-Slobodeckij spaces Wps(Ω) when s-1/p is an integer.http://dx.doi.org/10.1155/2007/471535 |
| spellingShingle | Doyoon Kim Trace theorems for Sobolev-Slobodeckij spaces with or without weights Journal of Function Spaces and Applications |
| title | Trace theorems for Sobolev-Slobodeckij spaces with or without weights |
| title_full | Trace theorems for Sobolev-Slobodeckij spaces with or without weights |
| title_fullStr | Trace theorems for Sobolev-Slobodeckij spaces with or without weights |
| title_full_unstemmed | Trace theorems for Sobolev-Slobodeckij spaces with or without weights |
| title_short | Trace theorems for Sobolev-Slobodeckij spaces with or without weights |
| title_sort | trace theorems for sobolev slobodeckij spaces with or without weights |
| url | http://dx.doi.org/10.1155/2007/471535 |
| work_keys_str_mv | AT doyoonkim tracetheoremsforsobolevslobodeckijspaceswithorwithoutweights |