A Characterization of regular points by $L^2$ Extension Theorem

Qi'an Guan; Zhenqian Li

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arXiv · 1603.02887

A Characterization of regular points by $L^2$ Extension Theorem

Qi'an Guan·Zhenqian Li

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Abstract

In this article, we present that the germ of a complex analytic set at the origin in $\mathbb{C}^n$ is regular if and only if the related $L^2$ extension theorem holds. We also obtain a necessary condition of the $L^2$ extension of bounded holomorphic sections from singular analytic sets.

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BibTeX RIS

Qi'an Guan, Zhenqian Li. 2016-03-09. A Characterization of regular points by $L^2$ Extension Theorem. https://arxiv.org/abs/1603.02887

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