Subelliptic operators on weighted Folland-Stein spaces
by Hung-Lin Chiu  

Vol. 17 No. 3 (2022) P.309~P.331

DOI:	https://doi.org/10.21915/BIMAS.2022302
	10.21915/BIMAS.2022302

ABSTRACT

In this paper, we show that the sub-Laplacian of an asymptotically flat pseudo-Hermitian manifold defined on suitable weighted Folland-Stein spaces is an isomorphism. Similarly in dimension 5 a certain Dirac-type operator is shown to be an isomorphism, which is used to resolve the CR positive mass problem.

KEYWORDS
Heisenberg group, asymptotically flat pseudo-Hermitian manifolds, weighted Folland-Stein spaces, spherical CR structure

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 32V05, 32V20

MILESTONES

Received: 2021-11-17
Revised :
Accepted:

Download Full Content