✦ LIBER ✦
Estimates of n -widths of Besov classes on two-point homogeneous manifolds
✍ Scribed by A. K. Kushpel; J. Levesley; S. A. Tozoni
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 192 KB
- Volume
- 282
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
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)