Artículos de revistas
On packing measures and a theorem of Besicovitch
Fecha
2014-07Registro en:
Garcia, Ignacio Andres; Shmerkin, Pablo; On packing measures and a theorem of Besicovitch; Amer Mathematical Soc; Proceedings Of The American Mathematical Society; 142; 8; 7-2014; 2661-2669
0002-9939
Autor
Garcia, Ignacio Andres
Shmerkin, Pablo
Resumen
Let Hh be the h-dimensional Hausdorff measure on Rd. Besicovitch showed that if a set E is null for Hh, then it is null for Hg , for some dimension g smaller than h. We prove that this is not true for packing measures. Moreover, we consider the corresponding questions for sets of non-σ-finite packing measure, and for pre-packing measure instead of packing measure.