Geometric conditions which imply compactness of the $\bar{\partial}$-Neumann operator

Emil J. Straube

Geometric conditions which imply compactness of the $\bar{\partial}$-Neumann operator

复变函数 2007-05-23 v1 偏微分方程分析

作者: Emil J. Straube

摘要

For smooth bounded pseudoconvex domains in $mathbb{C}^{2}$ , we provide geometric conditions on (the points of infinite type in) the boundary which imply compactness of the $\bar{\partial}$ -Neumann operator. It is noteworthy that the proof of compactness does \emph{not} proceed via verifying the known potential theoretic sufficient conditions.

引用

@article{arxiv.math/0309200,
  title  = {Geometric conditions which imply compactness of the $\bar{\partial}$-Neumann operator},
  author = {Emil J. Straube},
  journal= {arXiv preprint arXiv:math/0309200},
  year   = {2007}
}

备注

10 pages

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