@article{Hernández_2024, title={On the (1/2,+)-caloric capacity of Cantor sets}, volume={49}, url={https://afm.journal.fi/article/view/144428}, DOI={10.54330/afm.144428}, abstractNote={<pre>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 \(\mathbb{R}^{n+1}\). The results obtained for the latter are analogous to those found for Newtonian capacity. Moreover, we also characterize the BMO and Lip\(_\alpha\) variants (\(0&lt;\alpha&lt;1\)) of the 1/2-caloric capacity in terms of the Hausdorff contents \(H^n_\infty\) and \(H^{n+\alpha}_\infty\) respectively.</pre>}, number={1}, journal={Annales Fennici Mathematici}, author={Hernández, Joan}, year={2024}, month={Mar.}, pages={211–239} }