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2021 The Holomorphic Equivalence of Two Equidimensional Hartogs Domains over Bounded Symmetric Domains
Ting Guo, Huan Yang
Taiwanese J. Math. Advance Publication 1-12 (2021). DOI: 10.11650/tjm/201105

Abstract

This paper is concerned with the biholomorphism of two equidimensional Hartogs type domains over irreducible bounded symmetric domains $H_{\Omega}(p)$ (see (1.1)) which is a Hua construction of Cartan--Hartogs domain. We develop a new simple methods to give an sufficient and necessary condition for the two Hua domains to be biholomorphic equivalent by using the function $\mathcal{L}_{\Omega}(z,\omega)$ (see (1.2)). Furthermore as an application, we can also give an equivalent description for the automorphism of Hua domain.

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Ting Guo. Huan Yang. "The Holomorphic Equivalence of Two Equidimensional Hartogs Domains over Bounded Symmetric Domains." Taiwanese J. Math. Advance Publication 1 - 12, 2021. https://doi.org/10.11650/tjm/201105

Information

Published: 2021
First available in Project Euclid: 3 December 2020

Digital Object Identifier: 10.11650/tjm/201105

Subjects:
Primary: 32A07, 32H35, 32M05

Rights: Copyright © 2021 The Mathematical Society of the Republic of China

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