Extension of Lipschitz-type operators on Banach function spaces

DOI10.12775/TMNA.2020.026zbMath1486.46035arXiv1910.00243OpenAlexW3126816725MaRDI QIDQ2236481

Enrique Alfonso Sánchez-Pérez, Pilar Rueda, Wasthenny Vasconcelos Cavalcante

Publication date: 25 October 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00243

zbMATH Keywords

metric spaceBanach function spacemeasureintegrationLipschitz operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Lipschitz (Hölder) classes (26A16) Nonlinear operators and their properties (47H99)

Related Items (2)

Optimal extensions of Lipschitz maps on metric spaces of measurable functions ⋮ Extension procedures for lattice Lipschitz operators on Euclidean spaces

Cites Work

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• Factorizing operators on Banach function spaces through spaces of multiplication operators
• Extending Lipschitz maps into \(C(K)\)-spaces
• Optimal domain and integral extension of operators, acting in function spaces
• Subspaces of \(c_0 (\mathbb{N})\) and Lipschitz isomorphisms
• Lipschitz functions
• \(p\)-variations of vector measures with respect to vector measures and integral representation of operators
• Extension of linear operators and Lipschitz maps into \({\mathcal C}(K)\)-spaces
• Lipschitz and uniform embeddings into l_∞
• Lipschitz Algebras
• Über die zusammenziehende und Lipschitzsche Transformationen

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