On the scaling methods by Pinchuk and Frankel

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:454

Article

Joo, Seungro¹ 

[1] POSTECH, Dept Math, Pohang 790784, South Korea

关键词: Holomorphic mappings;    Automorphisms of C-2;   

DOI  :  10.1016/j.jmaa.2017.04.046

来源: Elsevier

【 摘 要 】

The main purpose of this paper is to study two scaling methods developed respectively by Pinchuk and Frankel. We introduce first a continuously -varying global coordinate system, and give an alternative proof to the convergence of Pinchuk's scaling sequence (and of our modification) on bounded domains with finite type boundaries in C-2. Using this, we discuss the modification of the Frankel scaling sequence on nonconvex domains. We also observe that two modified scalings are equivalent. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free