Decomposition of Besov and Triebel-Lizorkin spaces on the sphere

摘要

A discrete system of almost exponentially localized elements (needlets) on the n-dimensional unit sphere S-n is constructed. It shown that the needlet system can be used for decomposition of Besov and Triebel-Lizorkin spaces on the sphere. As an application of Besov spaces on S-n, a Jackson estimate for nonlinear in-term, approximation from the needlet system is obtained. (C) 2006 Elsevier Inc. All rights reserved.