Jinsong Liu

collaborators

5 papers

math.CV2020

Carleson measures on convex domains

Haichou Li, Jinsong Liu, Hongyu Wang

Following M.Abate and A.Saracco's work on strongly pseudoconvex domains in $C^{n}$ , we characterize Carleson measures of $A^{2} (D)$ in bounded convex domains with smooth bound…

math.GR2020

Large quotients of group actions with a contracting element

Zunwu He, Jinsong Liu, Wenyuan Yang

For any proper action of a non-elementary group $G$ on a proper geodesic metric space, we show that if $G$ contains a contracting element, then there exists a sequence of proper qu…

math.CV2020

The Gehring-Hayman type theorems on complex domains

Jinsong Liu, Hongyu Wang, Qingshan Zhou

In this paper we establish Gehring-Hayman type theorems for some complex domains. Suppose that $Ω \subset C^{n}$ is a bounded $m$ -convex domain with Dini-smooth boundary, or…

math.CV2020

Localization of the Kobayashi metric and applications

Jinsong Liu, Hongyu Wang

In this paper we introduce a new class of domains -- log-type convex domains, which have no boundary regularity assumptions. Then we will localize the Kobayashi metric in log-type…

math.CV2019

The CAT(0) geometry of convex domains with the Kobayashi metrics

Jinsong Liu, Hongyu Wang

Let $(Ω, K_{Ω})$ be a convex domain in $C^{d}$ with the Kobayashi metric $K_{Ω}$ . In this paper we prove that $m$ -convexity is a necessary condition for $(Ω, K_{Ω})$ to be CAT(0) if…