2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121038Sharp extensions of Pitt's inequality and bounds for Stein-Weiss fractional integrals are obtained that incorporate gradient forms and vector-valued operators. Such results include Hardy-Rellich inequalities.version 2, corrected misprint (4 January 2007); AMSLaTeX, 13 pagesAnalysis of PDEs58J70, 42B10, 35A15text