Heat kernel gradient estimates for the Vicsek set

Fabrice Baudoin; Li Chen

Heat kernel gradient estimates for the Vicsek set

Fabrice Baudoin, Li Chen

Department of Mathematics

Research output: Working paper/Preprint › Preprint

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Abstract

We prove pointwise and $L^p$ 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.

Original language	Undefined/Unknown
Publication status	Published - 6 Nov 2023

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2311.03499v1

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title = "Heat kernel gradient estimates for the Vicsek set",

abstract = "We prove pointwise and \$L\textasciicircum{}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.",

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BT - Heat kernel gradient estimates for the Vicsek set

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