Abstract and concrete tangent modules on Lipschitz differentiability spaces

DOI10.1090/proc/15656zbMath1484.53078arXiv2011.15092OpenAlexW3160664939WikidataQ109745467 ScholiaQ109745467MaRDI QIDQ5164057

Elefterios Soultanis, Enrico Pasqualetto, Toni Ikonen

Publication date: 9 November 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.15092

zbMATH Keywords

Sobolev spacerectifiable spacetangent moduleKeith's Lip-lip conditionLipschitz differentiability space

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (4)

Coarea inequality for monotone functions on metric surfaces ⋮ Extensions and approximations of Banach-valued Sobolev functions ⋮ Non-Hilbertian tangents to Hilbertian spaces ⋮ Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential

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