2023-04-242023-04-242021-11-22Espínola 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-2020-0130.2299-3274https://hdl.handle.net/11441/144788We 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.application/pdf14 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Smooth extensionssmooth approximationsmetric measure spacesmeasurable differentiablestructuresLipschitz mappingsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1515/agms-2020-0130