Hongyu Wang

activity

20092022

most citedOn a generalized Calabi-Yau equation

1 citations · 2 across the 6 of their papers we have counts for

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5 papers · 1 filter

math.CV2022★ 1 cited

Estimates of the Kobayashi metric and Gromov hyperbolicity on convex domains of finite type

Hongyu Wang

In this paper we give an local estimate for the Kobayashi distance on a bounded convex domain of finite type, which relates to a local pseudodistance near the boundary. The estimat…

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.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…