Cavalcante, Wasthenny, V.Rueda, PilarSánchez Pérez, Enrique Alfonso2022-09-302022-09-302021-031230-3429https://riunet.upv.es/handle/10251/186798[EN] We study extension theorems for Lipschitz-type operators acting on metric spaces and with values on spaces of integrable functions. Pointwise domination is not a natural feature of such spaces, and so almost everywhere inequalities and other measure-theoretic notions are introduced. We analyze Lipschitz-type inequalities in two fundamental cases. The first concerns almost everywhere pointwise inequalities, while the second considers dominations involving integrals. These Lipschitz-type inequalities provide a suitable frame to work with operators that take values on Banach function spaces. In the last part of the paper we use some interpolation procedures to extend our study to interpolated Banach function spaces.Reserva de todos los derechosLipschitz operatorBanach function spaceIntegrationMeasureMetric spaceMATEMATICA APLICADAArtículo10.12775/TMNA.2020.026Abierto