; TeX output 2001.02.15:1609 hGS 9K`y UU cmr10AnnalesAcademiScienĽtiarumFN8ennic MathematicaVN8olumen26,2001,175{188* 1B7"V cmbx10POINCARUGgEINEQUALITIESFORPOWERS#&ANDPRODUCTSOFADMISSIBLEWEIGHTS"ύ "V cmbx10JanaTBj@orncb=LinkUopingUnivĽersityN8,DepartmentofMathematics iSE-58183LinkUoping,SwĽeden;jabvjo@mai.liu.se!GD"V UU cmbx10DAbstract.YOurmainresultisthatif<b> UU cmmi10isans -admissiblemeasureinDR=0er U cmmi7nNJandv@!", UU cmsy10@2PA?po(d) , thenqthemeasureqda=Pvdisps -admissible.A`tĽwo-weightedqversionofthisresultisalsoproved.It"isfurthershoĽwnthateverystrong"A?AO! U cmsy7A1$-weightwinDRn,nuI@2 ,is"n=(n@ 1)-admissible,thatitsp;BoĽwerw9g:ٓR U cmr71A 1=n is1 -admissibleandthatthewĽeightsw9g1A p=nwith1