, Volume 242, Issue 3, pp 517-528

On boundary regularity of proper holomorphic mappings

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract.

We show that a proper holomorphic mapping \(f:D\to D'\) from a domain \(D\Subset{\mathbb C}^n\) with real-analytic boundary to a domain \(D'\Subset{\mathbb C}^n\) with real-algebraic boundary extends holomorphically to a neighborhood of \(\overline D\) .

Received: 14 March 2001 / Published online: 1 February 2002