- We introduce a notion of mean porosity for measures and obtain dimensional bounds for mean-porous and porous measures. As a corollary we generalize to all porous Borel measures the estimate obtained recently by J.-P. Eckmann, E. Järvenpää, and M. Järvenpää for porous measures satisfying the doubling condition. We also discuss various generalizations of this notion and possible applications.
- Publication status:
- Publisher copy:
- Copyright date:
On dimension of porous measures
Views and Downloads
If you are the owner of this record, you can report an update to it here: Report update to this record