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
收藏
页码：801 / 809
页数：9
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