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- W2892410331 abstract "We 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." @default.
- W2892410331 created "2018-10-05" @default.
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- W2892410331 date "2019-10-01" @default.
- W2892410331 modified "2023-10-17" @default.
- W2892410331 title "Isomorphisms between spaces of Lipschitz functions" @default.
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- W2892410331 doi "https://doi.org/10.1016/j.jfa.2019.02.003" @default.
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