Abstract
This article deals with microlocally weighted Sobolev spaces over the Heisenberg group ℍd, in relation with the canonical subriemannian contact structure
. The main purpose is to give a complete description of the restriction to hypersurfaces of functions that belong to those Sobolev spaces, through a trace and lifting theorem. The function spaces of the restrictions involve an additional weight in the space variable, near points where the contact structure of ℍd agrees with the hypersurface.
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Vigneron, F. The trace problem for Sobolev spaces over the Heisenberg group. J Anal Math 103, 279–306 (2007). https://doi.org/10.1007/s11854-008-0009-5
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DOI: https://doi.org/10.1007/s11854-008-0009-5