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arxiv: math/0412309 · v1 · submitted 2004-12-15 · 🧮 math.CV · math.DG

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

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keywords boundarypartialb-neumannballpartregularityunitadapt
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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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