In this paper, we prove the semi-continuity theorem of Diederich–Fornaess index and Steinness index under a smooth deformation of pseudoconvex domains in Stein manifolds.

中文翻译：

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Diederich-Fornaess 和 Steinness 指数的半连续性

在本文中，我们证明了在 Stein 流形中伪凸域的平滑变形下的 Diederich-Fornaess 指数和 Steinness 指数的半连续性定理。