Isomorphisms between spaces of Lipschitz functions

Carregando...
Imagem de Miniatura
Data
2019
Autores
Candido, Leandro [UNIFESP]
Cuth, Marek
Doucha, Michal
Orientadores
Tipo
Artigo
Título da Revista
ISSN da Revista
Título de Volume
Resumo
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.
Descrição
Citação
Coleções