定义在非约简子簇上的全纯函数扩展的L p -估计

IF 0.8 4区数学 Q2 MATHEMATICS

Annales De L Institut Fourier Pub Date : 2020-04-15 DOI:10.5802/aif.3586

M. Andersson

引用次数: 2

摘要

设$D$是$\C^N$上的严格伪凸域，$X$是在$\偏D$上表现良好的纯维非约简子变量。给出了定义在X上的全纯函数的扩展的L^p估计。

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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L p -estimates of extensions of holomorphic functions defined on a non-reduced subvariety

Let $D$ be a strictly pseudoconvex domain in $\C^N$ and $X$ a pure-dimensional non-reduced subvariety that behaves well at $\partial D$. We provide $L^p$-estimates of extensions of holomorphic functions defined on $X$.

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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.