Gradient Estimate for the Heat Kernel on Some Fractal-Like Cable Systems and Quasi-Riesz Transforms

Baptiste Devyver, Emmanuel Russ, Meng Yang

Research output: Contribution to journalArticlepeer-review

Abstract

We give pointwise upper estimate for the gradient of the heat kernel on some fractal-like cable systems including the Vicsek and the Sierpiński cable systems. Applications to Lp-boundedness of quasi-Riesz transforms are derived.
Original languageEnglish
JournalInternational Mathematics Research Notices
Volume2023
Issue number18
Early online date12 Oct 2022
DOIs
Publication statusPublished - Sept 2023

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