Infimum of the spectrum of Laplace-Beltrami operator on Cartan classical domains of type Ⅲ and Ⅳ

Let $ R_{{\cal A}} $ be the Cartan classical domains of type Ⅲ and Ⅳ, and $ \Delta_g $ is assumed to be the Laplace-Beltrami operator associated to the Bergman metric $ g $ on $ R_{{\cal A}} $. In this paper, we derive an estimate for $ \lambda_1(\Delta_g) $, which is the bottom of the spectrum of $...

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Bibliographic Details
Main Authors: Sujuan Long, Qiqi Zhang, Guijuan Lin
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023999?viewType=HTML