2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116571If a metric subspace $M^{o}$ of an arbitrary metric space $M$ carries a doubling measure $μ$, then there is a simultaneous linear extension of all Lipschitz functions on $M^{o}$ ranged in a Banach space to those on $M$. Moreover, the norm of this linear operator is controlled by logarithm of the doubling constant of $μ$.12 pagesFunctional AnalysisMetric GeometryPrimary 26B35, Secondary 54E35, 46B15text