Widths of Besov classes of generalized smoothness on the sphere

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• 作者：Heping Wang ; ^{wanghp@yahoo.cn} ; Sai Tang ^{star128429@126.com}
• 关键词：Widths ; Besov classes of generalized smoothness ; Representation theorem ; Embedding theorem ; Characterization using a frame
• 刊名：Journal of Complexity
• 出版年：2012
• 期刊代码：73_0885064x
• 类别：mt
• 出版时间：August, 2012
• 卷：28
• 期：4
• 页码：468-488
• 文件大小：321 K

摘要

We introduce the Besov spaces of generalized smoothness on the sphere , 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 of generalized smoothness in for , and obtain their asymptotic orders.