Journal of Lie Theory

no. 3
Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups
Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 801-809
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 L2 of Rumin's Laplacians on the contact complex of the Heisenberg groups.
DOI: 10.5802/jolt.1079
Classification: 35H10, 35H20, 22E30
Keywords: Maximal hypoellipticity, Lie groups, Laplace operators 
@article{JOLT_2019_29_3_a8,
     author = {T. Bruno},
     title = {Maximal {Hypoellipticity} for {Left-Invariant} {Differential} {Operators} on {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {801--809},
     year = {2019},
     volume = {29},
     number = {3},
     doi = {10.5802/jolt.1079},
     zbl = {1423.35085},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1079/}
}
TY  - JOUR
AU  - T. Bruno
TI  - Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups
JO  - Journal of Lie Theory
PY  - 2019
SP  - 801
EP  - 809
VL  - 29
IS  - 3
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1079/
DO  - 10.5802/jolt.1079
ID  - JOLT_2019_29_3_a8
ER  - 
%0 Journal Article
%A T. Bruno
%T Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups
%J Journal of Lie Theory
%D 2019
%P 801-809
%V 29
%N 3
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1079/
%R 10.5802/jolt.1079
%F JOLT_2019_29_3_a8
T. Bruno. Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups. Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 801-809. doi: 10.5802/jolt.1079

Cited by Sources: