Let X be a metric space and u a finite Borel measure on X. Let P^- u^q,t and P u^q,t be the packing premeasure and the packing measure on X, respectively, defined by the gauge （uB（x, r））^q（2r）^t, where q, t ∈...Let X be a metric space and u a finite Borel measure on X. Let P^- u^q,t and P u^q,t be the packing premeasure and the packing measure on X, respectively, defined by the gauge （uB（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 P^- u^q,t（E） =P u^q,t （E）; （2） if q 〉 0 and u is doubling on E then P^- u^q,t （E） and P u^q,t （E） are both zero or neither.展开更多
基金Supported by Natural Science Foundation of China (10571063)
文摘Let X be a metric space and u a finite Borel measure on X. Let P^- u^q,t and P u^q,t be the packing premeasure and the packing measure on X, respectively, defined by the gauge （uB（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 P^- u^q,t（E） =P u^q,t （E）; （2） if q 〉 0 and u is doubling on E then P^- u^q,t （E） and P u^q,t （E） are both zero or neither.
