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Estimates of n ‐widths of Besov classes on two‐point homogeneous manifolds
Author(s) -
Kushpel A. K.,
Levesley J.,
Tozoni S. A.
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610768
Subject(s) - mathematics , homogeneous , besov space , rank (graph theory) , point (geometry) , pure mathematics , combinatorics , mathematical analysis , interpolation space , geometry , functional analysis , chemistry , biochemistry , gene
Estimates of Kolmogorov and linear n ‐widths of Besov classes on compact globally symmetric spaces of rank 1 (i.e., on S d , P d (ℝ), P d (ℂ), P d (ℍ), P 16 (Cay)) are established. It is shown that these estimates have sharp orders in different important cases. A new characterisation of Besov spaces is also given (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)