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) |
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Pages (from-to) | 305-338 |
Number of pages | 34 |
Journal | Communications on Pure and Applied Mathematics |
Volume | 33 |
Issue number | 3 |
DOIs | |
State | Published - May 1980 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics