Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators

DOI10.1017/S0013091513000333zbMath1291.46032OpenAlexW2096079829MaRDI QIDQ5397395

Hans-Gerd Leopold, Leszek Skrzypczak

Publication date: 20 February 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://journals.cambridge.org/action/displayAbstract?fromPage=online&fileId=S0013091513000333&fulltextType=RA&aid=8992425

zbMATH Keywords

Triebel-Lizorkin spacesBesov spacescompact embeddingselliptic operatorsdistribution of eigenvaluesquasi-bounded domains

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items

\(s\)-numbers of compact embeddings of some sequence and function spaces ⋮ Subradial functions and compact embeddings ⋮ \(s\)-numbers of compact embeddings of function spaces on quasi-bounded domains ⋮ Nuclear embeddings in general vector-valued sequence spaces with an application to Sobolev embeddings of function spaces on quasi-bounded domains ⋮ Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators. II.

Cites Work

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• Operator properties of Sobolev imbeddings over unbounded domains
• Approximation numbers of Sobolev imbeddings over unbounded domains
• !ENTROPY NUMBERS OF EMBEDDINGS OF WEIGHTED BESOV SPACES. II