Gradient Estimate for the Heat Kernel on Some Fractal-Like Cable Systems and Quasi-Riesz Transforms
Analysis of PDEs
2021-06-23 v3 Differential Geometry
Functional Analysis
Metric Geometry
Abstract
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 -boundedness of quasi-Riesz transforms are derived.
Keywords
Cite
@article{arxiv.2103.10181,
title = {Gradient Estimate for the Heat Kernel on Some Fractal-Like Cable Systems and Quasi-Riesz Transforms},
author = {Baptiste Devyver and Emmanuel Russ and Meng Yang},
journal= {arXiv preprint arXiv:2103.10181},
year = {2021}
}
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30 pages