The fractional Lipschitz caloric capacity of Cantor sets
Abstract
Abstract We characterize the ‐parabolic Lipschitz caloric capacity of corner‐like ‐parabolic Cantor sets in for . Despite the spatial gradient of the ‐heat kernel lacking temporal antisymmetry, we obtain analogous results to those known for analytic and Riesz capacities.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Analytic and geometric function theory
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 113
- Issue
- 3
- Publication date
- 1 March 2026
- Language
- EN