Let X be a metric space and [[mu]] a finite Borel measure on X. Let ˉPq,tμ and Pq,tμ be
the packing premeasure and the packing measure on X, respectively, defined by the gauge (μB(x,r))q(2r)t, where q,t∈R. For
any compact set E of finite packing premeasure the authors prove: (1)
if q≤0 then ˉPq,tμ(E)=Pq,tμ(E); (2) if q>0 and μ is doubling on E then
ˉPq,tμ(E) and Pq,tμ(E) are both zero or neither.