Extending hypersurfaces

In the case of dimension one, this problem was studied by Lappan and Hinkkanen. The main purpose of this paper is to extend the result of Tan in to the case of hypersurface targets. Our result is also the counterpart of the result of Son and Tan in on the normality criterion of holomorphic mappings.

5p visharma 20-10-2023 7 2   Download

The aim of the paper "Extending hypersurfaces and meromorphic functions" is to investigate the extension of hypersurfaces in the case where Ω is a spread domain over a locally convex space having the Levi property. From the obtained result the authors show that every meromorphic function from a spread domain Ω over a locally convex space having the Levi property with values in a sequentially complete locally convex space can be extended meromorphically to its envelope of holomorphy.

7p runordie5 04-07-2022 4 2   Download