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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 , we characterize Carleson measures of 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 is a bounded -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…