Extension theorems with preservation of local approximation properties of functions in the nonisotropic case
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XI, Tome 113 (1981), pp. 247-252
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Theorems are proved on the extension of functions from a set of sufficiently general form with preservation of the order of local approximation characteristics of these functions, called the $(\alpha,p)$-modulus of continuity. Extension is realized by a linear operator. As corollaries, descriptions are obtained of traces of functions from spaces $B_p^{\lambda\theta}$ and $BMO$ on compacta of sufficiently general form.
@article{ZNSL_1981_113_a18,
author = {P. A. Shvartsman},
title = {Extension theorems with preservation of local approximation properties of functions in the nonisotropic case},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {247--252},
publisher = {mathdoc},
volume = {113},
year = {1981},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1981_113_a18/}
}
TY - JOUR AU - P. A. Shvartsman TI - Extension theorems with preservation of local approximation properties of functions in the nonisotropic case JO - Zapiski Nauchnykh Seminarov POMI PY - 1981 SP - 247 EP - 252 VL - 113 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1981_113_a18/ LA - ru ID - ZNSL_1981_113_a18 ER -
%0 Journal Article %A P. A. Shvartsman %T Extension theorems with preservation of local approximation properties of functions in the nonisotropic case %J Zapiski Nauchnykh Seminarov POMI %D 1981 %P 247-252 %V 113 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1981_113_a18/ %G ru %F ZNSL_1981_113_a18
P. A. Shvartsman. Extension theorems with preservation of local approximation properties of functions in the nonisotropic case. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XI, Tome 113 (1981), pp. 247-252. http://geodesic.mathdoc.fr/item/ZNSL_1981_113_a18/