Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664674 | Acta Mathematica Scientia | 2007 | 8 Pages |
Abstract
Let X be a metric space and μ a finite Borel measure on X. Let P¯μq,t and P¯μq,t be the packing premeasure and the packing measure on X, respectively, defined by the gauge q(μB(x,r))t(2r)(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 P¯μq,t(E)=P¯μq,t(E) if q > 0 and μ is doubling on E then P¯μq,t(E) and P¯μq,t(E) are both zero or neither.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Shengyou Wen, Min Wu,