Widths of Besov classes of generalized smoothness on the sphere
We introduce the Besov spaces B-p theta(Omega) (Sd-1) of generalized smoothness on the sphere Sd-1, and obtain the representation theorem, an embedding theorem, and the characterization using a frame. We also study the Kolmogorov, linear and Gelfand widths of Besov classes BBp theta Omega (Sd-1) of generalized smoothness in L-q (Sd-1) for 1 <= p, q <= infinity, and obtain their asymptotic orders. (c) 2012 Elsevier Inc. All rights reserved.
widths besov classes of generalized smoothness representation theorem embedding theorem characterization using a frame