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We extend the recent $L^{1}$ uncertainty inequalities obtained byDall'ara-Trevisan to the metric setting. For this purpose we introduce a newclass of weights, named *isoperimetric weights*, for which the growth of themeasure of their level sets $\mu(\{w\leq r\})$ can be controlled by $rI(r),$where $I$ is the isoperimetric profile of the ambient metric space. We useisoperimetric weights, new *localized Poincar\'e inequalities*, andinterpolation, to prove $L^{p},1\leq p<\infty,$ uncertainty inequalities onmetric measure spaces. We give an alternate characterization of the class ofisoperimetric weights in terms of Marcinkiewicz spaces, which combined with thesharp Sobolev inequalities we had obtained in an earlier paper, andinterpolation of weighted norm inequalities, give new uncertainty inequalitiesin the context of rearrangement invariant spaces.

Isoperimetric weights and generalized uncertainty inequalities in metric measure spaces