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

authors

• Boas, Harold
• Straube, Emil

published proceedings

• COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

altmetric score

• 3

author list (cited authors)

• BOAS, H. P., & STRAUBE, E. J.

citation count

• 18

complete list of authors

• BOAS, HP||STRAUBE, EJ

publication date

• January 1991

publisher

• Taylor & Francis  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

URL

• http://dx.doi.org/10.1080/03605309108820813