Abstract
This note concerns tube domains in C2 with the envelope of holomorphy not equal to the entire space. We construct examples showing that for such domains the sufficient condition for Kobayashi hyperbolicity due to M. Jarnicki and P. Pflug cannot be replaced by its weaker “affine” variant, which is known to be a necessary condition for hyperbolicity. Thus, we arrive at the somewhat unexpected conclusion that the obstructions for a domain in the above class to be Kobayashi hyperbolic are not just “affine”.
Original language | English |
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Pages (from-to) | 58-62 |
Number of pages | 5 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 460 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Apr 2018 |