| Date: |
2013 |
| Abstract: |
Packing measures Pg(E) and Hewitt-Stromberg measures vg(E) and their relatives are investigated. It is shown, for instance, that for any metric spaces X, Y and any Hausdorff functions f, g vg (X) • Ph (Y) ≤ Pgh (X x Y). The inequality for the corresponding dimensions is established and used for a solution of a problem of Hu and Taylor: If X ⊆ ℝn, then inf {dimpX x Y - dimpY : Y ⊆ ℝn } = lim inf dimB Xn. Corresponding dimension inequalities for products of measures are established. |
| Rights: |
Tots els drets reservats.  |
| Language: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Subject: |
Packing measure ;
Lower packing measure ;
Packing dimension ;
Lower ;
Cartesian product |
| Published in: |
Publicacions matemàtiques, Vol. 57, Núm. 2 (2013) , p. 393-420, ISSN 2014-4350 |
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