摘要 : We introduce the Besov spaces B_(pθ)~Ω(S~(d-1)) of generalized smoothness on the sphere S~(d-1) and obtain the representation theorem, an embedding theorem, and the characterization using a frame. We also study the Kolmogorov, lin... 展开 We introduce the Besov spaces B_(pθ)~Ω(S~(d-1)) of generalized smoothness on the sphere S~(d-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 BB_(pθ)~Ω(S~(d-1))) of generalized smoothness in L_q(S~(d-1))) for 1 ≤ p,q ≤ ∞, and obtain their asymptotic orders. 收起