The N-widths of spaces of holomorphic functions on bounded symmetric domains, II
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- 作者：Ding ; Hongming
- 关键词：primary 41A46 ; 43A85 ; secondary 43A90 ; Jordan pair ; Bounded symmetric domain ; Shilov boundary ; Symmetric cone ; Weighted Bergman space ; Bergman space ; Hardy space ; Radial derivative ; Reproducing kernel ; N-widths
- 刊名：Journal of Computational and Applied Mathematics
- 出版年：2002
- 出版时间：July 1, 2002
- 年：2002
- 卷：144
- 期：1-2
- 页码：175-186
- 全文大小：145 K
文摘
Let D be a bounded symmetric domain and Σ be the Shilov boundary of D. For λ
W, the Wallach set, and a nonnegative integer l, we study the weighted Bergman space Aλ2(D) and the weighted Bergman–Sobolev space A2,λ,l(D). For 0<ρ<1 we obtain exact values of the Gel'fand and linear N-widths of A2,λ,l(D) in C(ρΣ). We also obtain the Bernstein N-widths of the Hardy–Sobolev space H∞,l(D) in Aλ2(ρD).
W, the Wallach set, and a nonnegative integer l, we study the weighted Bergman space Aλ2(D) and the weighted Bergman–Sobolev space A2,λ,l(D). For 0<ρ<1 we obtain exact values of the Gel'fand and linear N-widths of A2,λ,l(D) in C(ρΣ). We also obtain the Bernstein N-widths of the Hardy–Sobolev space H∞,l(D) in Aλ2(ρD).