Chakrabarti, Debraj and Verma, Kaushal (2013) Condition R and proper holomorphic maps between equidimensional product domains. In: ADVANCES IN MATHEMATICS, 248 . pp. 820-842.
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Abstract
We consider proper holomorphic mappings of equidimensional pseudoconvex domains in complex Euclidean space, where both source and target can be represented as Cartesian products of smoothly bounded domains. It is shown that such mappings extend smoothly up to the closures of the domains, provided each factor of the source satisfies Condition R. It also shown that the number of smoothly bounded factors in the source and target must be the same, and the proper holomorphic map splits as a product of proper mappings between the factor domains. (C) 2013 Elsevier Inc. All rights reserved.
Item Type: | Journal Article |
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Publication: | ADVANCES IN MATHEMATICS |
Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE |
Additional Information: | copyright for this article belongs to Elsevier Science |
Keywords: | Proper holomorphic mappings; Condition R |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 11 Nov 2013 05:13 |
Last Modified: | 11 Nov 2013 05:13 |
URI: | http://eprints.iisc.ac.in/id/eprint/47730 |
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