2015/06/04 by Xieping Wang, Wang, Xieping, Guangbin Ren +1
Mathematics · #32A40 #32H02 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #Primary 32A10 #Secondary 30C80
paper · pdf · doi:10.48550/arxiv.1506.01569
openalex publication_date 2015/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, we generalize a recent work of Liu et al. from the open unit ball \mathbb Bn to more general bounded strongly pseudoconvex domains with C2 boundary. It turns out that part of the main result in this paper is in some certain sense just a part of results in a work of Bracci and Zaitsev. However, the proofs are significantly different: the argument in this paper involves a simple growth estimate for the Carathéodory metric near the boundary of C2 domains and the well-known Graham's estimate on the boundary behavior of the Carathéodory metric on strongly pseudoconvex domains, while Bracci and Zaitsev use other arguments.