1 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
The weak elliptic Harnack inequality revisited
Jiaxin Hu, Zhenyu Yu
In this paper we firstly derive the weak elliptic Harnack inequality from the generalized capacity condition, the tail estimate of jump measure and the Poincaré inequality, for any…