Sobolev spaces in several variables in \(L^1\)-type norms are not isomorphic to Banach lattices

DOI10.1007/BF02384541zbMath1021.46026OpenAlexW1971374563MaRDI QIDQ1811526

Aleksander Pełczyński, Michał Wojciechowski

Publication date: 16 June 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384541

zbMATH Keywords

Dolbeault cohomologySerre duality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Banach lattices (46B42)

Related Items

Boundary ellipticity and limiting \(\mathrm{L}^1\)-estimates on halfspaces ⋮ Sobolev embeddings, extensions and measure density condition ⋮ Restrictions of Sobolev W_p^1(R^2)-spaces to planar rectifiable curves ⋮ Modulars from Nakano onwards

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• On the convergence of the method of weak approximation in a reflexive Banach space
• Kernels of surjections from \({\mathcal L}_1\)-spaces with an application to Sidon sets
• Sur un théorème de Banach
• On isomorphisms of anisotropic Sobolev spaces with "classical Banach spaces" and a Sobolev type embedding theorem
• Absolutely summing operators and translation invariant spaces of functions on compact abelian groups