О классах Никольского — Бесова на компактных симметрических пространствах ранга 1

S. S. Platonov


Abstract: Let $M$ be a compact symmetric space of rank 1. We have defined the Nikolskii— Besov type function classes $B^{r}_{p,\theta}(M)$ and we have obtained a conctructive description of this classes in in terms of the best approximation by the spherical polynomials on $M$.

UDC: 517

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