THE BOUNDARY SCHWARZ LEMMA AND THE RIGIDITY THEOREM ON REINHARDT DOMAINS B_(p)^(n) OF C^(n)  

作　　者：王建飞 张艳慧 Jianfei WANG;Yanhui ZHANG(School of Mathematical Sciences,Huaqiao University,Quanzhou,362021,China;Department of Mathematics,Beijing Technology and Business University,Beijing,100048,China)

机构地区：[1]School of Mathematical Sciences,Huaqiao University,Quanzhou,362021,China [2]Department of Mathematics,Beijing Technology and Business University,Beijing,100048,China

出　　处：《Acta Mathematica Scientia》2024年第3期839-850,共12页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(12071161,11971165);supported by the National Natural Science Foundation of China(11971042);the Natural Science Foundation of Zhejiang Province(Z24A010005)。

摘　　要：By introducing the Carathéodory metric,we establish the Schwarz lemma at the boundary for holomorphic self-mappings on the unit p-ball B_(p)^(n) of C^(n).Furthermore,the boundary rigidity theorem for holomorphic self-mappings defined on B_(n)^(p) is obtained.These results cover the boundary Schwarz lemma and rigidity result for holomorphic self-mappings on the unit ball for p=2,and the unit polydisk for p=∞,respectively.

关 键 词：Schwarz lemma Carathéodory metric RIGIDITY 

分 类 号：O174.5[理学—数学]