Skrzypczak, Leszek Besov spaces on symmetric manifolds – the atomic decomposition. (English) Zbl 0896.46024 Stud. Math. 124, No. 3, 215-238 (1997). 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. Cited in 3 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 43A85 Harmonic analysis on homogeneous spaces Keywords:atomic decomposition; inhomogeneous Besov spaces; symmetric Riemannian spaces of noncompact type; theorem of Bernstein type; Helgason-Fourier transform PDFBibTeX XMLCite \textit{L. Skrzypczak}, Stud. Math. 124, No. 3, 215--238 (1997; Zbl 0896.46024) Full Text: DOI EuDML