Given a rearrangement-invariant Banach function space Y (Ω), we consider the problem of the existence of an optimal (largest) domain Or- licz space LA (Ω) satisfying the Sobolev embedding Wm LA (Ω) !Y (Ω). We present a complete solution of this problem within the class of Marcinkiewicz endpoint spaces which covers several important examples.
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:340763 |
| Date | January 2014 |
| Creators | Musil, Vít |
| Contributors | Pick, Luboš, Hencl, Stanislav |
| Source Sets | Czech ETDs |
| Language | English |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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