## Proper holomorphic maps from weakly pseudoconvex domains.(English)Zbl 0716.32017

Let D be a bounded pseudoconvex domain in $${\mathbb{C}}^ 2$$ with real- analytic boundary. The authors prove the existence of a proper holomorphic mapping from D into the unit polydisc in $${\mathbb{C}}^ 3$$. They also prove that there exists a uniformly continuous proper holomorphic mapping from D into the unit ball in $${\mathbb{C}}^ 3$$. The techniques employed in the construction are related to those used in proofs of existence of inner functions.
Reviewer: M.Klimek

### MSC:

 32H35 Proper holomorphic mappings, finiteness theorems 32T99 Pseudoconvex domains
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### References:

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