RT Journal Article T1 Attainable values for upper porosities of measures A1 Mera Rivas, María Eugenia A1 Morán Cabré, Manuel AB 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. PB Michigan State University Press SN 0147-1937 YR 2000 FD 2000 LK https://hdl.handle.net/20.500.14352/60448 UL https://hdl.handle.net/20.500.14352/60448 LA eng DS Docta Complutense RD 16 may 2024