Isomorphisms between spaces of Lipschitz functions

dc.contributorhttp://lattes.cnpq.br/6975165037874387
dc.creatorCandido, Leandro [UNIFESP]
dc.creatorCuth, Marek
dc.creatorDoucha, Michal
dc.date.accessioned2023-07-05T17:35:29Z
dc.date.accessioned2023-09-04T19:01:16Z
dc.date.available2023-07-05T17:35:29Z
dc.date.available2023-09-04T19:01:16Z
dc.date.created2023-07-05T17:35:29Z
dc.date.issued2019
dc.identifierhttps://repositorio.unifesp.br/11600/68463
dc.identifier10.1016/j.jfa.2019.02.003
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8621817
dc.description.abstractWe develop tools for proving isomorphisms of normed spaces of Lipschitz functions over various doubling metric spaces and Banach spaces. In particular, we show that Lip0(Zd) ≃ Lip0(Rd), for all d ∈ N. More generally, we e.g. show that Lip0(Γ) ≃ Lip0(G), where Γ is from a large class of finitely generated nilpotent groups and G is its Mal’cev closure; or that Lip0(ℓp) ≃ Lip0(Lp), for all 1 ≤ p < ∞. We leave a large area for further possible research.
dc.publisherGuido De Philippis
dc.relationJournal of Functional Analysis
dc.rightsAcesso restrito
dc.subjectLipschitz functions
dc.subjectisomorphisms between Banach spaces
dc.subjectCarnot groups
dc.subjectLipschitz-free spaces
dc.subjectOrlicz spaces
dc.titleIsomorphisms between spaces of Lipschitz functions
dc.typeArtigo


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