Measures of non-compactness and Sobolev-Lorentz spaces

DOI10.4171/ZAA/1649zbMath1455.46033MaRDI QIDQ2190479

Ondřej Bouchala

Publication date: 18 June 2020

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesembeddingsLorentz spacesmeasure of non-compactness

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (3)

Different degrees of non-compactness for optimal Sobolev embeddings ⋮ Measure of noncompactness of Sobolev embeddings on strip-like domains ⋮ Maximal non-compactness of Sobolev embeddings

Cites Work

• Unnamed Item
• Unnamed Item
• Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
• Inequalities between eigenvalues, entropy numbers, and related quantities of compact operators in Banach spaces
• Entropy numbers, s-numbers, and eigenvalue problems
• On functions with derivatives in a Lorentz space
• Strict s-numbers of non-compact Sobolev embeddings into continuous functions
• Espaces d'interpolation et théorème de Soboleff
• An elementary proof of sharp Sobolev embeddings
• Measures of non–compactness of classical embeddings of Sobolev spaces

This page was built for publication: Measures of non-compactness and Sobolev-Lorentz spaces