Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups

被引：0

作者：

Bruno, Tommaso ^{[1
]}

机构：

[1] Politecn Torino, Dipartimento Eccellenza 2018 2022, Dipartimento Sci Matemat Giuseppe Luigi Lagrange, Corso Duca Abruzzi 24, I-10129 Turin, Italy

来源：

JOURNAL OF LIE THEORY | 2019年 / 29卷 / 03期

关键词：

Maximal hypoellipticity; Lie groups; Laplace operators; FUNDAMENTAL SOLUTION; CONTACT STRUCTURES; COMPLEX; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a maximal hypoelliptic differential operator of arbitrary order, we prove that its graph norm controls the Sobolev norm of the same order if the operator has left-invariant principal part and lower order terms with bounded coefficients. As an application, we obtain the essential self-adjointness on L-2 of Rumin's Laplacians on the contact complex of the Heisenberg groups.

引用

页码：801 / 809

页数：9

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