Publication detail

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

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

ŽENÍŠEK, A.

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"
}