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Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators
Authors:
- Hans-Gerd Leopold,
- Leszek Skrzypczak
Abstract
We prove sufficient and necessary conditions for compactness of the Sobolev embeddings of Besov and Triebel-Lizorkin spaces defined on bounded and unbounded uniformly E-porous domains. The asymptotic behaviour of the corresponding entropy numbers is calculated. Some applications to the spectral properties of elliptic operators are described. Copyright © Edinburgh Mathematical Society 2013.
- Record ID
- UAM30201f3510ed4497b9980c3957bb1aa1
- Author
- Journal series
- Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915
- Issue year
- 2013
- Vol
- 56
- Pages
- 829-851
- ASJC Classification
- DOI
- DOI:10.1017/S0013091513000333 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 25
- Score source
- journalList
- Score
- Publication indicators
- = 5; = 5; : 2014 = 1.004; : 2013 (2 years) = 0.543 - 2013 (5 years) =0.696
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM30201f3510ed4497b9980c3957bb1aa1/
- URN
urn:amu-prod:UAM30201f3510ed4497b9980c3957bb1aa1
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.