L. Skrzypczak, SOME EQUIVALENT NORMS IN SOBOLEV-BESOV SPACES ON SYMMETRICAL RIEMANNIAN-MANIFOLDS, Journal of the London Mathematical Society, 53, 1996, pp. 569-581
In this paper we introduce local means on Riemannian symmetric manifol
ds of the noncompact type corresponding to the Laplace-Beltrami operat
or, and investigate equivalent norms in the Sobolev and Besov spaces d
efined via these means.