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

Autor: Hernández, Joan, Mateu, Joan, Prat, Laura
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper we characterize different fractional caloric capacities with fractional parabolic $\text{BMO}$ and $\text{Lip}_\alpha$ normalization conditions. That is, we characterize geometrically removable sets for functions solving the fractional heat equation under fractional parabolic $\text{BMO}$ or $\text{Lip}_\alpha$ constraints. Ultimately, we compare all capacities to a certain parabolic Hausdorff content.
Databáze: arXiv