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On the comparison of the Fridman invariant and the squeezing function
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2020-12-15 , DOI: 10.1080/17476933.2020.1851210 Feng Rong 1 , Shichao Yang 1
中文翻译:
弗里德曼不变量与挤压函数的比较
更新日期:2020-12-15
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2020-12-15 , DOI: 10.1080/17476933.2020.1851210 Feng Rong 1 , Shichao Yang 1
Affiliation
Let D be a bounded domain in , . In this paper, we study two biholomorphic invariants on D, the Fridman invariant and the squeezing function . More specifically, we study two questions about the quotient invariant : (1) If for some , is D biholomorphic to the unit ball? (2) Is constantly equal to 1? We answer both questions negatively.
中文翻译:
弗里德曼不变量与挤压函数的比较
令D为有界域,. 在本文中,我们研究了D上的两个双全纯不变量,即 Fridman 不变量和挤压功能. 更具体地说,我们研究了关于商不变量的两个问题 : (1) 如果对于一些, D对单位球是双全纯的吗?(2) 是始终等于 1?我们否定地回答这两个问题。