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

Autor:	Devyver, Baptiste, Russ, Emmanuel, Yang, Meng
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs Mathematics - Differential Geometry Mathematics - Functional Analysis Mathematics - Metric Geometry 28A80 35K08
Druh dokumentu:	Working Paper
Popis:	We give pointwise upper estimate for the gradient of the heat kernel on some fractal-like cable systems including the Vicsek and the Sierpi\'nski cable systems. Applications to $L^p$-boundedness of quasi-Riesz transforms are derived. Comment: 30 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.10181 Zobrazit plný text záznamu View this record from Arxiv