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Local boundary regularity of holomorphic mappings
Author(s) -
Nirenberg L.,
Webster S.,
Yang P.
Publication year - 1980
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160330306
Subject(s) - holomorphic function , mathematics , extension (predicate logic) , bounded function , boundary (topology) , pure mathematics , space (punctuation) , identity theorem , mathematical analysis , discrete mathematics , computer science , programming language , operating system
Let f be a holomorphic mapping between two bounded domains D and D ' in complex space ℂ n . Suppose that D and D ' contain smooth real hypersurfaces Γ and Γ′ as open subsets of their respective boundaries, which correspond under a continuous extension of f . We shall show that this extension is smooth, given certain restrictions on Γ, Γ, and f .