Splitting type results for pseudoconvex domains and remarks on their Nebenhülle

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2023-12-13 DOI:10.1007/s10231-023-01406-y

Arkadiusz Lewandowski

引用次数: 0

Abstract

We give a very general splitting type theorem for biholomorphic maps close to identity in the context of smoothly bounded pseudoconvex domains (Theorem 1.4). As a particular case, in the context of worm domains, we essentially reprove the splitting type result (Theorem 1.3) from Bracci et al. (Math Z 292:879–893, 2019) (by a different method). We also discuss some properties of the Nebenhülle of worm domains.

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伪凸域的分裂类型结果及其 Nebenhülle 评论

在平滑有界伪凸域的背景下，我们给出了接近同一性的双全形映射的一般分裂类型定理（定理 1.4）。作为一种特殊情况，在蠕虫域的背景下，我们基本上重现了 Bracci 等人（Math Z 292:879-893, 2019）的分裂类型结果（定理 1.3）（方法不同）。我们还讨论了虫域的内本许勒的一些性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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