Boundary regularity for the problem, Part 2

We adapt the results of Part 1 to include the unit ball in the Heisenberg group, the model domain with characteristic boundary points. In particular, we construct function spaces on which the Kohn Laplacian with the boundary conditions is an isomorphism. As an application, we establish sharp regular...

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Bibliographic Details
Published in:The Journal of geometric analysis 2006-01, Vol.16 (2), p.295-318
Main Author: Hladky, Robert K
Format: Article
Language:English
Subjects:
Boundary conditions
Function space
Geometry
Isomorphism
Regularity
Online Access:Get full text
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Summary:We adapt the results of Part 1 to include the unit ball in the Heisenberg group, the model domain with characteristic boundary points. In particular, we construct function spaces on which the Kohn Laplacian with the boundary conditions is an isomorphism. As an application, we establish sharp regularity for a canonical solution to the inhomogenous equation on the unit ball.
ISSN:1050-6926
1559-002X
DOI:10.1007/BF02922117