×

Besov spaces on symmetric manifolds – the atomic decomposition. (English) Zbl 0896.46024

Summary: We give the atomic decomposition of inhomogeneous Besov spaces defined on symmetric Riemannian spaces of noncompact type. As an application we get a theorem of Bernstein type of the Helgason-Fourier transform.

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
43A85 Harmonic analysis on homogeneous spaces
PDF BibTeX XML Cite
Full Text: DOI EuDML