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arXiv · 2506.00712

The fractional Lipschitz caloric capacity of Cantor sets

Joan Hernández
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Abstract

We characterize the s-parabolic Lipschitz caloric capacity of corner-like $s$-parabolic Cantor sets in $\mathbb{R}^{n+1}$ for $1/2<s\leq 1$. Despite the spatial gradient of the s-heat kernel lacking temporal anti-symmetry, we obtain analogous results to those known for analytic and Riesz capacities.

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Joan Hernández. 2025-05-31. The fractional Lipschitz caloric capacity of Cantor sets. https://doi.org/10.1112/jlms.70493

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