On the (1/2,+)-caloric capacity of Cantor sets

In the present paper we characterize the (1/2, +)-caloric capacity (associated with the 1/2 -fractional heat equation) of the usual corner -like Cantor set of Rn+1. The results obtained for the latter are analogous to those found for Newtonian capacity. Moreover, we also characterize the BMO and Lip alpha variants (0 < alpha < 1) of the 1/2 -caloric capacity in terms of the Hausdorff contents H-infinity(n) and H- infinity(n+alpha) respectively.