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

abstract

  • 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 Szeg projection are continuous in Sobolev norms. Copyright 1991 by Marcel Dekker, Inc.

published proceedings

  • Communications in Partial Differential Equations

altmetric score

  • 3

author list (cited authors)

  • Boas, H. P., & Straube, E. J.

citation count

  • 13

complete list of authors

  • Boas, Harold P||Straube, Emil J

publication date

  • January 1991