On a generalization of Nikolskij's extension theorem in the case of two variables

Ženíšek, Alexander. "On a generalization of Nikolskij's extension theorem in the case of two variables." Applications of Mathematics 48.5 (2003): 367-404. <http://eudml.org/doc/33153>.

@article{Ženíšek2003,
abstract = {A modification of the Nikolskij extension theorem for functions from Sobolev spaces $H^k(\Omega )$ is presented. This modification requires the boundary $\partial \Omega $ to be only Lipschitz continuous for an arbitrary $k\in \mathbb \{N\}$; however, it is restricted to the case of two-dimensional bounded domains.},
author = {Ženíšek, Alexander},
journal = {Applications of Mathematics},
keywords = {Whitney’s extension; Calderon’s extension; Nikolskij’s extension; modified Nikolskij’s extension in case of 2D-domains with a Lipschitz continuous boundary; Whitney's extension; Calderon's extension; Nikolskij's extension; modified Nikolskij's extension in case of 2D-domains with a Lipschitz continuous boundary},
language = {eng},
number = {5},
pages = {367-404},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a generalization of Nikolskij's extension theorem in the case of two variables},
url = {http://eudml.org/doc/33153},
volume = {48},
year = {2003},
}

TY - JOUR
AU - Ženíšek, Alexander
TI - On a generalization of Nikolskij's extension theorem in the case of two variables
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 5
SP - 367
EP - 404
AB - A modification of the Nikolskij extension theorem for functions from Sobolev spaces $H^k(\Omega )$ is presented. This modification requires the boundary $\partial \Omega $ to be only Lipschitz continuous for an arbitrary $k\in \mathbb {N}$; however, it is restricted to the case of two-dimensional bounded domains.
LA - eng
KW - Whitney’s extension; Calderon’s extension; Nikolskij’s extension; modified Nikolskij’s extension in case of 2D-domains with a Lipschitz continuous boundary; Whitney's extension; Calderon's extension; Nikolskij's extension; modified Nikolskij's extension in case of 2D-domains with a Lipschitz continuous boundary
UR - http://eudml.org/doc/33153
ER -