SOBOLEV ESTIMATES FOR THE COMPLEX GREEN OPERATOR ON A CLASS OF WEAKLY PSEUDOCONVEX BOUNDARIES
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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.