Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4608824 | Journal of Complexity | 2012 | 21 Pages |
Abstract
We introduce the Besov spaces BpθΩ(Sd−1) of generalized smoothness on the sphere Sd−1Sd−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 BBpθΩ(Sd−1) of generalized smoothness in Lq(Sd−1)Lq(Sd−1) for 1≤p,q≤∞1≤p,q≤∞, and obtain their asymptotic orders.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Heping Wang, Sai Tang,