COMPLEX VECTOR FIELDS AND HYPOELLIPTIC PARTIAL DIFFERENTIAL OPERATORS

被引：6

作者：

Altomani, Andrea ^{[1
]}

Hill, C. Denson ^{[2
]}

Nacinovich, Mauro ^{[3
]}

Porten, Egmont ^{[4
]}

机构：

[1] Univ Luxembourg, Res Unity Math, L-1511 Luxembourg, Luxembourg

[2] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

[3] II Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[4] Mid Sweden Univ, Dept Math, S-85170 Sundsvall, Sweden

来源：

ANNALES DE L INSTITUT FOURIER | 2010年 / 60卷 / 03期

关键词：

Complex distribution; subelliptic estimate; hypoellipticity; Levi form; CR manifold; pseudoconcavity; flag manifold; CR MANIFOLDS; DERIVATIVES;

D O I：

10.5802/aif.2545

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a subelliptic estimate for systems of complex vector fields under some assumptions that generalize the essential pseudoconcavity for CR manifolds, that was first introduced by two of the authors; and the Hormander's bracket condition for real vector fields. Applications are given to prove the hypoellipticity of first order systems and second order partial differential operators. Finally we describe a class of compact homogeneous CR manifolds for which the distribution of (0,1) vector fields satisfies a subelliptic estimate.

引用

页码：987 / 1034

页数：48

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