Heat kernel gradient estimates for the Vicsek set

Fabrice Baudoin and Li Chen

Mathematische Nachrichten, 2024, vol. 297, issue 12, 4450-4477

Abstract: We prove pointwise and Lp$L^p$ gradient estimates for the heat kernel on the bounded and unbounded Vicsek set and applications to Sobolev inequalities are given. We also define a Hodge semigroup in that setting and prove estimates for its kernel.

Date: 2024
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https://doi.org/10.1002/mana.202400180

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