Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 207-223
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S. S. Platonov. About some approach to the theory of Nikolskiǐ–Besov spaces on homogeneous manifolds. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 207-223. http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a16/
@article{FPM_2000_6_1_a16,
author = {S. S. Platonov},
title = {About some approach to the~theory of {Nikolskiǐ{\textendash}Besov} spaces on homogeneous manifolds},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {207--223},
year = {2000},
volume = {6},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a16/}
}
TY - JOUR
AU - S. S. Platonov
TI - About some approach to the theory of Nikolskiǐ–Besov spaces on homogeneous manifolds
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 207
EP - 223
VL - 6
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a16/
LA - ru
ID - FPM_2000_6_1_a16
ER -
%0 Journal Article
%A S. S. Platonov
%T About some approach to the theory of Nikolskiǐ–Besov spaces on homogeneous manifolds
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 207-223
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a16/
%G ru
%F FPM_2000_6_1_a16
Let $M$ be a compact symmetric space of rank 1. We have defined the Nikolski\v{i}–Besov function classes $B_{p,\theta}^r(M)$, $r>0$, $1\leq\theta\leq\infty$, $1\leq p\leq\infty$, and we have obtained a constructive description of these classes in terms of the best approximations of functions $f\in L_p(M)$ by the spherical polynomials on $M$.
