Heat kernel gradient estimates for the Vicsek set

Fabrice Baudoin; Li Chen

Heat kernel gradient estimates for the Vicsek set

Fabrice Baudoin, Li Chen

Institut for Matematik

Publikation: 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.

Originalsprog	Udefineret/Ukendt
Status	Udgivet - 6 nov. 2023

Emneord

math.AP
math.FA
math.MG

Adgang til dokumentet

2311.03499v1

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Tjek tilgængelighed hos det Kgl. Bibliotek

Citationsformater

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

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KW - math.MG

M3 - Preprint

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