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ŽENÍŠEK, A.
Original Title
On a generalization of Nikolskij´s extension theorem in the case of two variables
Type
journal article - other
Language
English
Original 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 $k\in N$; however, it is restricted to the case of two-dimensional bounded domains.
Keywords
Whitney´s extension, Calderon´s extension, Nikolskij´s extension, modified Nikolskij´s extension in case of 2D-domains with a lipschitz continuous boundary
Authors
Released
1. 1. 2003
ISBN
0862-7940
Periodical
APPLICATIONS OF MATHEMATICS
Year of study
48
Number
5
State
Czech Republic
Pages from
367
Pages to
407
Pages count
41
BibTex
@article{BUT45798, author="Alexander {Ženíšek}", title="On a generalization of Nikolskij´s extension theorem in the case of two variables", journal="APPLICATIONS OF MATHEMATICS", year="2003", volume="48", number="5", pages="41", issn="0862-7940" }