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:
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