Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 106-123
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E. L. Korotyaev; D. R. Yafaev. Traces on surfaces for function classes with dominant mixed derivatives. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 106-123. http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a7/
@article{ZNSL_1977_69_a7,
author = {E. L. Korotyaev and D. R. Yafaev},
title = {Traces on surfaces for function classes with dominant mixed derivatives},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {106--123},
year = {1977},
volume = {69},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a7/}
}
TY - JOUR
AU - E. L. Korotyaev
AU - D. R. Yafaev
TI - Traces on surfaces for function classes with dominant mixed derivatives
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 106
EP - 123
VL - 69
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a7/
LA - ru
ID - ZNSL_1977_69_a7
ER -
%0 Journal Article
%A E. L. Korotyaev
%A D. R. Yafaev
%T Traces on surfaces for function classes with dominant mixed derivatives
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 106-123
%V 69
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a7/
%G ru
%F ZNSL_1977_69_a7
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 $L_2(S)$ 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.
