Density and extension of differentiable functions on metric measure spaces
We consider vector valued mappings de ned on metric measure spaces with a measurable differ-entiable structure and study both approximations by nicer mappings and regular extensions of the givenmappings when de ned on closed subsets. Therefore, we propose a rst approach to these problems, largelystu...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2021 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/144788 |
| Acesso em linha: | https://hdl.handle.net/11441/144788 https://doi.org/10.1515/agms-2020-0130 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Smooth extensions smooth approximations metric measure spaces measurable differentiablestructures Lipschitz mappings |
| Resumo: | We consider vector valued mappings de ned on metric measure spaces with a measurable differ-entiable structure and study both approximations by nicer mappings and regular extensions of the givenmappings when de ned on closed subsets. Therefore, we propose a rst approach to these problems, largelystudied on Euclidean and Banach spaces during the last century, for rst order differentiable functions de- ned on these metric measure spaces. |
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