Local boundary regularity of holomorphic mappings | Zendy

Nirenberg L. | Zendy; Webster S. | Zendy; Yang P. | Zendy

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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 .

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