首页|THE BOUNDARY SCHWARZ LEMMA AND THE RIGIDITY THEOREM ON REINHARDT DOMAINS Bnp OF Cn

THE BOUNDARY SCHWARZ LEMMA AND THE RIGIDITY THEOREM ON REINHARDT DOMAINS Bnp OF Cn

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By introducing the Carathéodory metric,we establish the Schwarz lemma at the boundary for holomorphic self-mappings on the unit p-ball Bp of Cn.Furthermore,the boundary rigidity theorem for holomorphic self-mappings defined on Bp 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=oo,respectively.

Schwarz lemmaCarathéodory metricrigidity

王建飞、张艳慧

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School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China

Department of Mathematics,Beijing Technology and Business University,Beijing 100048,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNatural Science Foundation of Zhejiang ProvinceNational Natural Science Foundation of China

1207116111971165Z24A01000511971042

2024

10.1007/s10473-024-0304-y

数学物理学报(英文版)
中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD
影响因子：0.256
ISSN：0252-9602
年,卷(期)：2024.44(3)
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