Sobolev estimates for the complex green operator on a class of weakly pseudoconvex boundaries Academic Article uri icon


  • On the boundary of a smooth bounded convex domain in Cn (more generally, a domain that admits a defining function that is plurisubharmonic on the boundary), the canonical (norm-minimizing) solution operator of the ∂b-equation, the inverse of □b (the complex Green operator) and the Szegő projection are continuous in Sobolev norms. Copyright © 1991 by Marcel Dekker, Inc.

altmetric score

  • 3

author list (cited authors)

  • Boas, H. P., & Straube, E. J.

citation count

  • 13

publication date

  • January 1991