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Traces on surfaces for function classes with dominant mixed derivatives. / Korotyaev, E. L.; Yafaev, D. R.
в: Journal of Soviet Mathematics, Том 10, № 1, 07.1978, стр. 73-86.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Traces on surfaces for function classes with dominant mixed derivatives
AU - Korotyaev, E. L.
AU - Yafaev, D. R.
PY - 1978/7
Y1 - 1978/7
N2 - Spaces of Sobolev type are considered in which the principal part of the norm is determined by mixed derivatives. Theorems on the imbedding of such spaces in the space L2(S) are established; S is a surface of codimension 1. The imbedding conditions depend on the order of tangency of the surface S with hyperplanes parallel to certain coordinate axes.
AB - Spaces of Sobolev type are considered in which the principal part of the norm is determined by mixed derivatives. Theorems on the imbedding of such spaces in the space L2(S) are established; S is a surface of codimension 1. The imbedding conditions depend on the order of tangency of the surface S with hyperplanes parallel to certain coordinate axes.
UR - http://www.scopus.com/inward/record.url?scp=34250278460&partnerID=8YFLogxK
U2 - 10.1007/BF01109725
DO - 10.1007/BF01109725
M3 - Article
AN - SCOPUS:34250278460
VL - 10
SP - 73
EP - 86
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 1
ER -
ID: 86259648