Sobolev estimates for the complex green operator on a class of weakly pseudoconvex boundaries |
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Authors: | Harold P. Boas Emil J. Straube |
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Affiliation: | 1. Texas A&2. M University, Department of Mathematics , College Station, TX, 77843-3368 |
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Abstract: | On the boundary of a smooth bounded convex domain in Cn (more generally, a domain that admits a defining funtion that is plurisubharmonic on the boundary), the canonicl (narm-minimizing) solution operator of the -equation, the inverse of □b (the complex Gereen Operator) and the Szegö projection are continuous is Sobolev norms. |
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