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Average widths of anisotropic Besov-Wiener classes
Authors:JIANG Yanjie
Affiliation: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 
$$S_{pqtheta }^r b(mathbb{R}{}^d) and S_{pqtheta }^r B(mathbb{R}{}^d) in L_q (mathbb{R}{}^d) (1 leqslant q leqslant p< infty )$$
. The weak asymptotic behavior is established for the corresponding quantities.
Keywords:average dimension  average width  anisotropic Besov-Wiener class
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