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Exact bounds for the minimum norm of extension operators for Sobolev spaces

Authors :
V I Burenkov
A L Gorbunov
Source :
Izvestiya: Mathematics. 61:1-43
Publication Year :
1997
Publisher :
Steklov Mathematical Institute, 1997.

Abstract

This article is concerned with extension operators for the Sobolev spaces , where is a domain in with boundary in a Lipschitz class. Two-sided bounds are obtained for the minimum norm of an extension operator that are exact with respect to the smoothness parameter .

Subjects

Subjects :
Sobolev space
Smoothness
Class (set theory)
Pure mathematics
Operator (computer programming)
Minimum norm
General Mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
Boundary (topology)
Extension (predicate logic)
Mathematics
Sobolev inequality

Details

ISSN :
14684810 and 10645632
Volume :
61
Database :
OpenAIRE
Journal :
Izvestiya: Mathematics
Accession number :
edsair.doi...........215d159c3480fe71758fc493716fc2b1
Full Text :
https://doi.org/10.1070/im1997v061n01abeh000103
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