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Transactions of the American Mathematical Society

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Local Boundary Regularity
of the Szego Projection
and Biholomorphic Mappings
of Non-Pseudoconvex Domains

Author: Peiming Ma
Journal: Trans. Amer. Math. Soc. 350 (1998), 419-428
MSC (1991): Primary 32H10
MathSciNet review: 1407706
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Abstract: It is shown that the Szeg\H{o} projection $S$ of a smoothly bounded domain $\Omega $, not necessarily pseudoconvex, satisfies local regularity estimates at certain boundary points, provided that condition $R$ holds for $\Omega $. It is also shown that any biholomorphic mapping $f:\Omega \rightarrow D$ between smoothly bounded domains extends smoothly near such points, provided that a weak regularity assumption holds for $D$.

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Additional Information

Peiming Ma
Affiliation: Department of Mathematics, Statistics, and Computer Science, University of Wisconsin-Stout, Menomonie, Wisconsin 54751

Received by editor(s): September 25, 1995
Received by editor(s) in revised form: July 30, 1996
Article copyright: © Copyright 1998 American Mathematical Society

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