Non-compact embeddings of Sobolev spaces

DOI10.1016/J.JAT.2022.105848OpenAlexW4310065249MaRDI QIDQ2680834

Jan Lang, David E. Edmunds

Publication date: 4 January 2023

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

Full work available at URL: https://doi.org/10.1016/j.jat.2022.105848

zbMATH Keywords

Sobolev embeddingBernstein numbersfinitely strictly singular mapnon-compact mapstrictly singular map

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08) Harmonic analysis on Euclidean spaces (42-XX) Approximations and expansions (41-XX)

Cites Work

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• Measure of noncompactness of Sobolev embeddings on strip-like domains
• Strict s-numbers of non-compact Sobolev embeddings into continuous functions
• Finitely strictly singular operators in harmonic analysis and function theory
• Essential norms and localization moduli of Sobolev embeddings for general domains
• History of Banach Spaces and Linear Operators

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