Nuclearity and non-nuclearity of some Sobolev embeddings on domains

DOI10.1016/j.jat.2016.07.008zbMath1361.46028OpenAlexW2497896147MaRDI QIDQ320340

Petr Gurka, Jan Lang, David E. Edmunds

Publication date: 6 October 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2016.07.008

zbMATH Keywords

Banach spaceapproximation numbersSobolev embeddingBernstein numbersnuclear map

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (4)

Nuclear embeddings in weighted function spaces ⋮ On nuclearity of embeddings between Besov spaces ⋮ Nuclear embeddings of Besov spaces into Zygmund spaces ⋮ Nuclear embeddings in general vector-valued sequence spaces with an application to Sobolev embeddings of function spaces on quasi-bounded domains

Cites Work

• Non-nuclearity of a Sobolev embedding on an interval
• Approximation numbers of nuclear operators and geometry of Banach spaces
• Eigenvalue distribution of compact operators
• Bounds for Projection Constants and 1-Summing Norms
• Bernstein numbers of embeddings of isotropic and dominating mixed Besov spaces
• Bernstein width of a class of functions of finite smoothness
• History of Banach Spaces and Linear Operators
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