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Subelliptic operators on weighted folland-stein spaces

Hung-Lin Chiu

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES（2022）

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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.
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Key words and phrases,Heisenberg group,asymptotically flat pseudo-Hermitian manifolds,weighted Folland-Stein spaces,spherical CR structure
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