摘要
In this paper we prove that isometries with respect to the Kobayashi metric between certain domains having boundary points at which the boundary is infinitely flat extend continuously to the boundary.The strategy is to reestablish the Gehring-Hayman-type Theorem for these complex domains.Furthermore,the regularity of boundary extension map is given.
基金
supported by National Key R&D Program of China(Grant No.2021YFA1003100)
NSFC(Grant Nos.11925107 and 12226334)
Key Research Program of Frontier Sciences,CAS(Grant No.ZDBS-LY-7002)
supported by the Young Scientist Program of the Ministry of Science and Technology of China(Grant No.2021YFA1002200)
NSFC(Grant No.12201059)。
