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The research in paper is a continuation of the work of Li and Wang [10–12] who studied upper estimates for λ1 = λ1(Δg), the bottom of the spectrum of Laplace–Beltrami operator on a complete noncompact Kähler manifold (M, g) with a lower bound condition on holomorphic bisectional curvature and the work of Munteanu [16] who uses lower bound condition on Ricci curvature. In this paper, we study the problems on a bounded pseudoconvex domain D in

Infimum of the spectrum of Laplace–Beltrami operator on a bounded pseudoconvex domain with a Kähler metric of Bergman type