%0 Journal Article %A Mera Rivas, María Eugenia %A Morán Cabré, Manuel %T Attainable values for upper porosities of measures %D 2000 %@ 0147-1937 %U https://hdl.handle.net/20.500.14352/60448 %X In this paper we introduce two definitions of upper porosity of a measure which range from 0 to (1/2) and from 0 to 1 respectively, and prove that actually the first porosity only can take the extreme values 0 or (1/2), and the second one takes either the value 0 or the values (1/2) or 1. The other main result of this paper says that any measure μ which does not satisfy the doubling condition μ-a.e. has a maximal porosity. %~