2 papers
math.FA2026
Heat kernel-based p-energy norms on metric measure spaces
Jin Gao, Zhenyu Yu, Junda Zhang
We investigate heat kernel-based and other -energy norms (1<p<\infty) on bounded and unbounded metric measure spaces, in particular, on nested fractals and their blowups. With t…
math.FA2025
Besov-Lipschitz norm and -energy measure on scale-irregular Vicsek sets
Aobo Chen, Jin Gao, Zhenyu Yu +1
In this paper, we establish the existence of -energy norms and the corresponding -energy measures for scale-irregular Vicsek sets, which may lack self-similarity. We also inv…