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Research Article | Open Access

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

Sujuan Long1( ), Qiqi Zhang2, Guijuan Lin3, Conghui Shen1
School of Mathematics and Data Science, Minjiang University, Fuzhou 350108, China
College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063, China
School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China
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Abstract

Let R A be the Cartan classical domains of type Ⅲ and Ⅳ, and Δ g is assumed to be the Laplace-Beltrami operator associated to the Bergman metric g on R A . In this paper, we derive an estimate for λ 1 ( Δ g ), which is the bottom of the spectrum of Δ g on R A .

Keywords

Laplace-Beltrami operatorCartan classical domainsBergman metric
CLC number: 35P05, 32Q15, 47F05

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AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 19582-19594
DOI: 10.3934/math.2023999

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Cite this article:
Long S, Zhang Q, Lin G, et al. Infimum of the spectrum of Laplace-Beltrami operator on Cartan classical domains of type Ⅲ and Ⅳ. AIMS Mathematics, 2023, 8(8): 19582-19594. https://doi.org/10.3934/math.2023999

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Received: 06 April 2023
Accepted: 24 May 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)