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arXiv · 2412.16520

On fractional parabolic $\text{BMO}$ and $\text{Lip}_{\alpha}$ caloric capacities

Joan Hernández·Joan Mateu·Laura Prat
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Abstract

In the present paper we characterize the removable sets for solutions of the fractional heat equation satisfying some parabolic $\text{BMO}$ or $\text{Lip}_\alpha$ normalization conditions. We do this by introducing associated fractional caloric capacities, that we show to be comparable to a certain parabolic Hausdorff content.

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Joan Hernández, Joan Mateu, Laura Prat. 2024-12-21. On fractional parabolic $\text{BMO}$ and $\text{Lip}_{\alpha}$ caloric capacities. https://doi.org/10.1007/s00209-025-03900-w

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