Optimal Sobolev embeddings (Q2707691)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Optimal Sobolev embeddings |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal Sobolev embeddings |
scientific article |
Statements
3 April 2001
0 references
Sobolev type inequalities
0 references
embeddings
0 references
optimal source spaces
0 references
optimal target spaces
0 references
Sobolev spaces
0 references
Lebesgue
0 references
Orlicz
0 references
Lorentz
0 references
Lorentz-Zygmund
0 references
rearrangement-invariant Banach function spaces
0 references
Optimal Sobolev embeddings (English)
0 references
The author discusses the question when Sobolev type inequalities are optimal within various classes of function spaces. Sobolev spaces are modelled upon different scales of function spaces (e.g.\ Lebesgue, Orlicz, Lorentz, Lorentz-Zygmund, or rearrangement-invariant Banach function spaces) and a special attention is paid to embeddings in limiting situations. Quite general results are derived and the author applies them to concrete situations when Sobolev spaces are considered upon a given scale of function spaces.NEWLINENEWLINEFor the entire collection see [Zbl 0952.00033].
0 references
