Heat and harmonic extensions for function spaces of Hardy-Sobolev-Besov type on symmetric spaces and Lie groups
Spaces of Hardy-Sobolev-Besov type \(B^s_{pq}\) and \(F^s_{pq}\) on (special) Riemannian manifolds and Lie groups are usually introduced via local charts. It is the aim of this paper to characterize these spaces intrinsically via heat and Poisson semigroups. Atomic decompositions of these spaces are the main tool.
scientific article; zbMATH DE number 1251377
scientific article