Heat extensions, optimal atomic decompositions and Sobolev embeddings in presence of symmetries on manifolds
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.
scientific article; zbMATH DE number 1944225