TY - JOUR
AU - Hernández, Joan
PY - 2024/03/22
Y2 - 2024/09/08
TI - On the (1/2,+)-caloric capacity of Cantor sets
JF - Annales Fennici Mathematici
JA - Ann. Fenn. Math.
VL - 49
IS - 1
SE - Articles
DO - 10.54330/afm.144428
UR - https://afm.journal.fi/article/view/144428
SP - 211–239
AB - <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 (\(0<\alpha<1\)) of the 1/2-caloric capacity in terms of the Hausdorff contents \(H^n_\infty\) and \(H^{n+\alpha}_\infty\) respectively.</pre>
ER -