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On the topological extension to the boundary of biholomorphic maps in $C\sp{n}$
1976
Transactions of the American Mathematical Society
Preserved Fulltext
Let F: Dx -► D2 be a biholomorphic map between bounded domains in c" with piecewise smooth strictly pseudoconvex boundaries. It is shown that F is Holder continuous of some positive order, and hence F extends to a homeomorphism of the closures of the domains. This generalizes recent results of G. M. Henkin and N. Vormoor for domains with smooth strictly pseudoconvex boundary.
doi:10.1090/s0002-9947-1976-0387665-9
fatcat:s24fih56efhwzefoelepxhmuoe