Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Spaces of smooth functions generated by nonhomogeneous differential expressions. / Kislyakov, S. V.; Maksimov, D. V.; Stolyarov, D. M.
в: Functional Analysis and its Applications, Том 47, № 2, 01.04.2013, стр. 157-159.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Spaces of smooth functions generated by nonhomogeneous differential expressions
AU - Kislyakov, S. V.
AU - Maksimov, D. V.
AU - Stolyarov, D. M.
PY - 2013/4/1
Y1 - 2013/4/1
N2 - A Sobolev-type embedding theorem is established, which differs from classical statements in that the assumptions are imposed on linear combinations of the form ΣajDαj fj with different functions fj and different multi-indices αj. It is applied to a classification problem for spaces of smooth functions generated by finite collections of differential expressions.
AB - A Sobolev-type embedding theorem is established, which differs from classical statements in that the assumptions are imposed on linear combinations of the form ΣajDαj fj with different functions fj and different multi-indices αj. It is applied to a classification problem for spaces of smooth functions generated by finite collections of differential expressions.
KW - isomorphism
KW - Sobolev embedding
KW - space of smooth functions
UR - http://www.scopus.com/inward/record.url?scp=84879824777&partnerID=8YFLogxK
U2 - 10.1007/s10688-013-0021-0
DO - 10.1007/s10688-013-0021-0
M3 - Article
AN - SCOPUS:84879824777
VL - 47
SP - 157
EP - 159
JO - Functional Analysis and its Applications
JF - Functional Analysis and its Applications
SN - 0016-2663
IS - 2
ER -
ID: 35959294