Positivity of the (partial derivative)over-bar-Neumann Laplacian

被引：3

作者：

Fu, Siqi ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math Sci, Camden, NJ 08102 USA

来源：

COMPLEX ANALYSIS: SEVERAL COMPLEX VARIABLES AND CONNECTIONS WITH PDE THEORY AND GEOMETRY | 2010年

关键词：

Pseudoconvex; (partial derivative)over-bar-Neumann Laplacian; Dolbeault cohomology; L(2)-cohomology; PSEUDO-CONVEX MANIFOLDS; HARMONIC INTEGRALS; NEUMANN PROBLEM; CR MANIFOLDS; COHOMOLOGY; HEARING; SPACE;

D O I：

10.1007/978-3-0346-0009-5_8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the (partial derivative) over bar -Neumann Laplacian from spectral theoretic perspectives. In particular, we show how pseudoconvexity of a bounded domain is characterized by positivity of the (partial derivative) over bar -Neumann Laplacian.

引用

页码：145 / 158

页数：14

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