1 citations · 3 across the 5 of their papers we have counts for
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A geometric characterization of the Maz'ya-Shaposhnikova limit on metric measure spaces
Jin Gao, Zhenyu Yu, Junda Zhang
We provide a purely geometric necessary and sufficient condition, in terms of a certain Cesàro mean of the volume function, for the existence of the Maz'ya-Shaposhnikova functional…
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…
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 . Such property has many important…
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…