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Average widths of anisotropic Besov-Wiener classes

Authors:	JIANG Yanjie

Institution:	Department of Foundation, North China Electric Power University, Baoding 071003, China

Abstract:	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.

Keywords:	average dimension average width anisotropic Besov-Wiener class
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