Transactions of the American Mathematical Society

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

Author(s): Peiming Ma
Journal: Trans. Amer. Math. Soc. 350 (1998), 419-428.
MSC (1991): Primary 32H10
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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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