Density and Extension of Differentiable Functions on Metric Measure Spaces
Abstract: We consider vector valued mappings defined on metric measure spaces with a measurable differentiable structure and study both approximations by nicer mappings and regular extensions of the given mappings when defined on closed subsets. Therefore, we propose a first approach to these problems, largely studied on Euclidean and Banach spaces during the last century, for first order differentiable functions de-fined on these metric measure spaces.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Density and Extension of Differentiable Functions on Metric Measure Spaces ; volume:9 ; number:1 ; year:2021 ; pages:254-268 ; extent:15
Analysis and geometry in metric spaces ; 9, Heft 1 (2021), 254-268 (gesamt 15)
- Creator
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García, Rafael Espínola
González, Luis Sánchez
- DOI
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10.1515/agms-2020-0130
- URN
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urn:nbn:de:101:1-2024041116394768265238
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:46 AM CEST
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Associated
- García, Rafael Espínola
- González, Luis Sánchez
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