Local boundary regularity of holomorphic mappings

L. Nirenberg; S. Webster; P. Yang

doi:10.1002/cpa.3160330306

Local boundary regularity of holomorphic mappings

L. Nirenberg, S. Webster, P. Yang

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45 Scopus citations

Abstract

Let f be a holomorphic mapping between two bounded domains D and D' in complex space ℂⁿ. 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.

Original language	English (US)
Pages (from-to)	305-338
Number of pages	34
Journal	Communications on Pure and Applied Mathematics
Volume	33
Issue number	3
DOIs	https://doi.org/10.1002/cpa.3160330306
State	Published - May 1980
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1002/cpa.3160330306

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title = "Local boundary regularity of holomorphic mappings",

abstract = "Let f be a holomorphic mapping between two bounded domains D and D' in complex space ℂn. 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.",

author = "L. Nirenberg and S. Webster and P. Yang",

year = "1980",

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AU - Webster, S.

AU - Yang, P.

PY - 1980/5

Y1 - 1980/5

N2 - Let f be a holomorphic mapping between two bounded domains D and D' in complex space ℂn. 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.

AB - Let f be a holomorphic mapping between two bounded domains D and D' in complex space ℂn. 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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U2 - 10.1002/cpa.3160330306

DO - 10.1002/cpa.3160330306

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AN - SCOPUS:84980140471

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JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

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ER -

Local boundary regularity of holomorphic mappings

Abstract

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