2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79520We prove the converse of Yano's extrapolation theorem for translation invariant operators.7 pages, no figures, submitted J. Funct. AnalFunctional AnalysisClassical Analysis and ODEs42B35, 46B70A converse extrapolation theorem for translation invariant operatorstext