The fractional Lipschitz caloric capacity of Cantor sets

Key Points

• The research aims to characterize the parabolic Lipschitz caloric capacity of corner-like parabolic Cantor sets.
• Characterization of parabolic Lipschitz caloric capacity in Cantor sets.
• Analysis of the spatial gradient of the heat kernel.
• Comparison with known results for analytic and Riesz capacities.
• Established links between parabolic Lipschitz capacity and properties of heat kernels.
• Showed similarities to results for analytic and Riesz capacities despite differences in gradient behavior.