HYPOELLIPTICITY OF THE KOHN LAPLACIAN FOR THREE-DIMENSIONAL TUBULAR CAUCHY-RIEMANN STRUCTURES

被引：12

作者：

Christ, Michael ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2002年 / 1卷 / 02期

关键词：

hypoellipticity; Kohn Laplacian; pseudoconvex; superlogarithmic estimate; nonlinear eigenvalues;

D O I：

10.1017/S1474-748002000063

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A necessary and sufficient geometric condition is established for the Kohn Laplacian to be hypoelliptic, modulo its nullspace, for boundaries of arbitrary infinitely differentiable pseudoconvex tube domains in two complex variables. Hypoellipticity is also proved to be equivalent to validity of a superlogarithmic estimate, for this special class of structures.

引用

页码：279 / 291

页数：13

共 14 条

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