Boundary Regularity for the \bar{\partial}_b-Neumann problem, Part 2

Details Boundary Regularity for the \bar{\partial}_b-Neumann problem, Part 2 Boundary Regularity for the \bar{\partial}_b-Neumann problem, Part 2

2004-12-15

arxiv.org/abs/math/0412309v1

Mathematics

Complex Variables

23 pages

Scientific paper

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 \bar{\partial}_b-Neumann boundary conditions is an isomorphism. As an application, we establish sharp regularity for a canonical solution to the inhomogenous \bar{\partial}_b equation on the unit ball.

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