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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

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