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

Author:

Devyver Baptiste1,Russ Emmanuel1,Yang Meng2

Affiliation:

1. Université Grenoble Alpes , CNRS UMR 5582, Institut Fourier, Gières, 38610, France

2. Centro de Matemática e Aplicações , Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2829–516 Caparica, Portugal

Abstract

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 $L^{\,p}$-boundedness of quasi-Riesz transforms are derived.

Funder

French ANR project RAGE

“Investissements d’avenir” program

LabEx PERSYVAL

Fundação para a Ciência e a Tecnologia, I.P.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference45 articles.

1. Sub-Laplacians with drift on Lie groups of polynomial volume growth

2. New Riemannian manifolds with ${L}^{\,p}$-unbounded Riesz transform for $p>2$;Amenta;Math. Z.,2021

3. Energy inequalities for cutoff functions and some applications;Andres;J. Reine Angew. Math.,2015

4. Riesz transform on manifolds and Poincaré inequalities;Auscher;Ann. Sc. Norm. Super. Pisa Cl. Sci. (5),2005

5. Riesz transform on manifolds and heat kernel regularity;Auscher;Ann. Sci. Éc. Norm. Supér. (4),2004

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