Sobolev spaces with only trivial isometries. II

DOI10.1007/s11117-008-2242-7zbMath1177.42010OpenAlexW1981526327MaRDI QIDQ1041495

Geoff Diestel

Publication date: 2 December 2009

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-008-2242-7

zbMATH Keywords

Banach spacesSobolev spacesisometries

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70)

Related Items

Surjective isometries on Banach sequence spaces: a survey ⋮ Isometries between Sobolev spaces ⋮ Lattice homomorphisms between Sobolev spaces

Cites Work

• On the isometries of certain function-spaces
• Sobolev spaces with only trivial isometries
• Change of variables formula under minimal assumptions
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