Heat kernel gradient estimates for the Vicsek set

Published 6 Nov 2023 in math.AP, math.FA, and math.MG | (2311.03499v3)

Abstract: We prove pointwise and $L^p$ 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.

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