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

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 Szegő projection are continuous in Sobolev norms. Copyright © 1991 by Marcel Dekker, Inc.

authors

• Boas, Harold
• Straube, Emil

altmetric score

• 3

author list (cited authors)

• Boas, H. P., & Straube, E. J.

citation count

• 13

publication date

• January 1991

publisher

• Informa UK Limited  Publisher

published in

• COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS  Journal

keywords

• Convex Domains
• Szego Projection
• Tangential Cauchy-riemann Equations
• Weakly Pseudoconvex Boundaries

Digital Object Identifier (DOI)

• 10.1080/03605309108820813

start page

• 1573

end page

• 1582

volume

• 16

issue

• 10