FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 207-223

**About some approach to the theory of Nikolskii--Besov spaces
on homogeneous manifolds**

S. S. Platonov

Abstract

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Let $M$ be
a compact symmetric space of rank $1$.
We have defined the Nikolskii--Besov function classes
$B$_{p,q}^{r}(M),
$r\; >\; 0$,
$1$£
q £
¥, $1$£ p £ ¥, and we have obtained
a constructive description of these classes in terms of
the best approximations of functions $f$Î
L_{p}(M) by the spherical
polynomials on $M$.

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Location: http://mech.math.msu.su/~fpm/eng/k00/k001/k00117h.htm

Last modified: April 11, 2000