Lipschitz maps and primitives for continuous functions in quasi-Banach spaces

DOI10.1016/J.NA.2012.06.016zbMath1266.46002OpenAlexW1988859355MaRDI QIDQ448518

Fernando Albiac, José Luis Ansorena

Publication date: 6 September 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.06.016

zbMATH Keywords

quasi-Banach spacedifferentiationRiemann integralLipschitz mapprimitive

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Continuous and differentiable maps in nonlinear functional analysis (46T20) Derivatives of functions in infinite-dimensional spaces (46G05) Calculus of functions taking values in infinite-dimensional spaces (26E20)

Related Items (3)

On Lipschitz maps, martingales, and the Radon-Nikodým property for \(\mathsf{F}\)-spaces ⋮ Unnamed Item ⋮ Optimal average approximations for functions mapping in quasi-Banach spaces

Cites Work

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• \(\Phi\)-convex functions defined on metric spaces
• Curves with zero derivative in F-spaces
• On integrability in F-spaces
• Sur les espaces métriques linéaires (I)

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