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Average widths of anisotropic Besov-Wiener classes

Average widths of anisotropic Besov-Wiener classes
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摘要 This paper concerns the problem of average σ-K width and average σ-L width of some anisotropic Besov-Wiener classes $S_{pq\theta }^r b(\mathbb{R}{}^d) and S_{pq\theta }^r B(\mathbb{R}{}^d) in L_q (\mathbb{R}{}^d) (1 \leqslant q \leqslant p< \infty )$ . The weak asymptotic behavior is established for the corresponding quantities. This paper concems the problem of average σ-K width and average σ-L width of some anisotropic Besov-wiener classes Spqθr(Rd) and Spqθr(Rd) in Lq(Rd) (1≤≤q≤p&lt;∞). The weak asymptotic behavior is established for the corresponding quantities.
作者 蒋艳杰
出处 《Science China Mathematics》 SCIE 2000年第6期609-615,共7页 中国科学:数学(英文版)
关键词 AVERAGE dimension AVERAGE WIDTH ANISOTROPIC Besov-Wiener class. average dimension average width anisotropic Besov-Wiener class
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