Shafikov, Rasul ; Verma, Kaushal (2003) A local extension theorem for proper holomorphic mappings in ℂ2 Journal of Geometric Analysis, 13 (4). pp. 697-714. ISSN 1050-6926
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Official URL: https://link.springer.com/article/10.1007/BF029218...
Related URL: http://dx.doi.org/10.1007/BF02921885
Abstract
Let ƒ: D → D′ be a proper holomorphic mapping between bounded domains D, D′ in ℂ2.Let M, M′ be open pieces on δD, δD′, respectively that are smooth, real analytic and of finite type. Suppose that the cluster set of M under ƒ is contained in M′. It is shown that ƒ extends holomorphically across M. This can be viewed as a local version of the Diederich-Pinchuk extension result for proper mappings in ℂ2.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Mathematical Society. |
| Keywords: | Proper Mapping; Extension; Segre Varieties |
| ID Code: | 108076 |
| Deposited On: | 01 Feb 2018 11:28 |
| Last Modified: | 01 Feb 2018 11:28 |
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