Heat kernel gradient estimates for the Vicsek set

Fabrice Baudoin*, Li Chen

*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

Abstract

We prove pointwise and (Formula presented.) 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.

OriginalsprogEngelsk
TidsskriftMathematische Nachrichten
Vol/bind297
Nummer12
Sider (fra-til)4450-4477
Antal sider28
ISSN0025-584X
DOI
StatusUdgivet - dec. 2024

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