Boundary Regularity for the ∂b-Neumann problem, Part 2
Robert K. Hladky
Abstract
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 ∂b-Neumann boundary conditions is an isomorphism. As an application, we establish sharp regularity for a canonical solution to the inhomogenous ∂b equation on the unit ball.
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