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March 10, 2026Journal of the London Mathematical SocietyOpen Access

The fractional Lipschitz caloric capacity of Cantor sets

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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.

Implication

Characterizes caloric capacity in Cantor sets, revealing important properties of heat kernels.

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.

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Rodríguez Hernández Ja (2026) studied this question.

synapsesocial.com/papers/69af952b70916d39fea4c6bf https://doi.org/10.1112/jlms.70493

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Implication

Characterizes caloric capacity in Cantor sets, revealing important properties of heat kernels.

The fractional Lipschitz caloric capacity of Cantor sets

Key Points

Implication

Abstract

Discussion

Cite This Study

The fractional Lipschitz caloric capacity of Cantor sets

Key Points

Implication

Abstract

Discussion

Cite This Study

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