Estimates of  n  ‐widths of Besov classes on two‐point homogeneous manifolds | Zendy

Kushpel A. K. | Zendy; Levesley J. | Zendy; Tozoni S. A. | Zendy

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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)

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