Remarks about the Besicovitch Covering Property in Carnot groups of step 3 and higher
Remarks about the Besicovitch Covering Property in Carnot groups of step 3 and higher
We prove that the Besicovitch Covering Property (BCP) does not hold for some classes of homogeneous quasi-distances on Carnot groups of step 3 and higher. As a special case we get that, in Carnot groups of step 3 and higher, BCP is not satisfied for those homogeneous distances whose unit …