Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Local approximations on manifolds and weighted estimates. / Dem'yanovich, Yu K.
в: Journal of Soviet Mathematics, Том 36, № 2, 01.01.1987, стр. 261-269.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Local approximations on manifolds and weighted estimates
AU - Dem'yanovich, Yu K.
PY - 1987/1/1
Y1 - 1987/1/1
N2 - An approach proposed by the author for representing spaces of local functions (s.l.f.) by means of an abstract function with values in the dual space is developed; thanks to this generalization of s.l.f. to the case of a nonuniform net and manifolds are obtained. Moreover, some weighted estimates of approximation by regular s.l.f. are established, and simple proofs are given of theorems of approximation by regular s.l.f. in the spaces of S. L. Sobolev and O. V. Besov.
AB - An approach proposed by the author for representing spaces of local functions (s.l.f.) by means of an abstract function with values in the dual space is developed; thanks to this generalization of s.l.f. to the case of a nonuniform net and manifolds are obtained. Moreover, some weighted estimates of approximation by regular s.l.f. are established, and simple proofs are given of theorems of approximation by regular s.l.f. in the spaces of S. L. Sobolev and O. V. Besov.
UR - http://www.scopus.com/inward/record.url?scp=34250101887&partnerID=8YFLogxK
U2 - 10.1007/BF01091806
DO - 10.1007/BF01091806
M3 - Article
AN - SCOPUS:34250101887
VL - 36
SP - 261
EP - 269
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 2
ER -
ID: 53485086