Junda Zhang

activity

20222026

p

-energy measure on scale-irregular Vicsek sets

1 citations · 3 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.FA2024★ 1 cited

Besov-Lipschitz norm and $p$ -energy measure on scale-irregular Vicsek sets

Aobo Chen, Jin Gao, Zhenyu Yu +1

In this paper, we establish the existence of $p$ -energy norms and the corresponding $p$ -energy measures for scale-irregular Vicsek sets, which may lack self-similarity. We also inv…

math.FA2023★ 1 cited

Weak monotonicity property of Korevaar-Schoen norms on nested fractals

Diwen Chang, Jin Gao, Zhenyu Yu +1

In this paper, we study the weak monotonicity property of p-energy related Korevaar-Schoen norms on connected nested fractals for $1 < p < \infty$ . Such property has many important…

math.FA2023★ 1 cited

Heat kernel-based p-energy norms on metric measure spaces

Jin Gao, Zhenyu Yu, Junda Zhang

We investigate heat kernel-based and other $p$ -energy norms (1<p<\infty) on bounded and unbounded metric measure spaces, in particular, on nested fractals and their blowups. With t…

Besov-Lipschitz norm and p-energy measure on scale-irregular Vicsek sets

Weak monotonicity property of Korevaar-Schoen norms on nested fractals

Heat kernel-based p-energy norms on metric measure spaces

Besov-Lipschitz norm and $p$ -energy measure on scale-irregular Vicsek sets