Artículo
Density and extension of differentiable functions on metric measure spaces
Autor/es | Espínola García, Rafael
Sánchez González, Luis |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2021-11-22 |
Fecha de depósito | 2023-04-24 |
Publicado en |
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Resumen | 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 ... 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. |
Cita | Espínola García, R. y Sánchez González, L. (2021). Density and extension of differentiable functions on metric measure spaces. ANALYSIS AND GEOMETRY IN METRIC SPACES, 9, 254-268. https://doi.org/10.1515/agms-2020-0130. |
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