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)|
|Number of pages||34|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - May 1980|
All Science Journal Classification (ASJC) codes
- Applied Mathematics