2004/12/15 by Robert K. Hladky, Hladky, Robert K.
Mathematics · #32V20 #32W10 (primary) #35H20 (secondary) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #math.CV #math.DG #msc:32V20 #msc:32W10 #msc:35H20
paper · pdf · doi:10.48550/arxiv.math/0412309
23 pages
arxiv created 2004/12/15 · arxiv updated 2009/12/01
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.