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2022 / September Volume 17 No.3
Subelliptic operators on weighted Folland-Stein spaces
Published Date
2022 / September
Title
Subelliptic operators on weighted Folland-Stein spaces
Author
Hung-Lin Chiu
Keyword
Heisenberg group, asymptotically flat pseudo-Hermitian manifolds, weighted Folland-Stein spaces, spherical CR structure
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Pagination
309-331
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.
DOI
10.21915/BIMAS.2022302
https://doi.org/10.21915/BIMAS.2022302
AMS Subject
Classification
32V05, 32V20
Received
2021-11-17
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