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.
Originalsprog | Engelsk |
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Tidsskrift | Mathematische Nachrichten |
Vol/bind | 297 |
Nummer | 12 |
Sider (fra-til) | 4450-4477 |
Antal sider | 28 |
ISSN | 0025-584X |
DOI | |
Status | Udgivet - dec. 2024 |