Lipschitz free \(p\)-spaces for \(0 < p < 1\)

DOI10.1007/s11856-020-2061-5zbMath1462.46003arXiv1811.01265OpenAlexW2899017260MaRDI QIDQ2218711

Marek Cúth, Michal Doucha, Fernando Albiac, José Luis Ansorena

Publication date: 18 January 2021

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.01265

zbMATH Keywords

quasi-Banach spaceLipschitz mapquasi-metric spaceArens-Eells spaceLipschitz-free space

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Classical Banach spaces in the general theory (46B25)

Related Items (7)

Toward an optimal theory of integration for functions taking values in quasi-Banach spaces ⋮ Structure of the Lipschitz free \(p\)-spaces \(\mathcal{F}_p (\mathbb{Z}^d)\) and \(\mathcal{F}_p (\mathbb{R}^d)\) for \(0<p\leq 1\) ⋮ Optimal extensions of Lipschitz maps on metric spaces of measurable functions ⋮ On a `philosophical' question about Banach envelopes ⋮ Lipschitz free spaces isomorphic to their infinite sums and geometric applications ⋮ Topological groups of Lipschitz functions and Graev metrics ⋮ Greedy approximation for biorthogonal systems in quasi-Banach spaces

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