On the trace space of a Sobolev space with a radial weight
Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/986720 |
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| _version_ | 1832548124940304384 |
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| author | Helmut Abels Miroslav Krbec Katrin Schumacher |
| author_facet | Helmut Abels Miroslav Krbec Katrin Schumacher |
| author_sort | Helmut Abels |
| collection | DOAJ |
| description | Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space. |
| format | Article |
| id | doaj-art-7652b2475166464bb59d40a5bae01aff |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-7652b2475166464bb59d40a5bae01aff2025-02-03T06:42:11ZengWileyJournal of Function Spaces and Applications0972-68022008-01-016325927610.1155/2008/986720On the trace space of a Sobolev space with a radial weightHelmut Abels0Miroslav Krbec1Katrin Schumacher2Max Planck Institute for Mathematics in Science, Inselstr. 22, 04103 Leipzig, GermanyInstitute of Mathematics of the ASCR, v.v.i., Žitná 25, 115 67 Prague 1, Czech RepublicDepartment of Mathematics, Darmstadt University of Technology, Schlossgartenstr. 7, 64289 Darmstadt, GermanyOur concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.http://dx.doi.org/10.1155/2008/986720 |
| spellingShingle | Helmut Abels Miroslav Krbec Katrin Schumacher On the trace space of a Sobolev space with a radial weight Journal of Function Spaces and Applications |
| title | On the trace space of a Sobolev space with a radial weight |
| title_full | On the trace space of a Sobolev space with a radial weight |
| title_fullStr | On the trace space of a Sobolev space with a radial weight |
| title_full_unstemmed | On the trace space of a Sobolev space with a radial weight |
| title_short | On the trace space of a Sobolev space with a radial weight |
| title_sort | on the trace space of a sobolev space with a radial weight |
| url | http://dx.doi.org/10.1155/2008/986720 |
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