Heat extensions, optimal atomic decompositions and Sobolev embeddings in presence of symmetries on manifolds (Q1395396)
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: Heat extensions, optimal atomic decompositions and Sobolev embeddings in presence of symmetries on manifolds |
scientific article; zbMATH DE number 1944225
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Heat extensions, optimal atomic decompositions and Sobolev embeddings in presence of symmetries on manifolds |
scientific article; zbMATH DE number 1944225 |
Statements
Heat extensions, optimal atomic decompositions and Sobolev embeddings in presence of symmetries on manifolds (English)
0 references
1 July 2003
0 references
The author firstly constructs what is sometimes referred to as an atomic decomposition with optimal coefficient of the function spaces of Besov and Triebel-Lizorkin. Then the heat semi-group characterization of the spaces on Riemannian manifolds of bounded geometry is given. Furthermore, properties of the Sobolev embeddings of the Besov and Triebel-Lizokin spaces which admit compact group of isometries of the Riemannian manifold are investigated.
0 references
heat extensions
0 references
optimal atomic decompositions
0 references
Sobolev embeddings
0 references
