Pluripolar hulls and fine holomorphy
| Authors | |
|---|---|
| Publication date | 03-2023 |
| Journal | Indagationes Mathematicae |
| Volume | Issue number | 34 | 2 |
| Pages (from-to) | 248-258 |
| Organisations |
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| Abstract | Examples by Poletsky and the author and by Zwonek show the existence of nowhere extendable holomorphic functions with the property that the pluripolar hull of their graphs is much larger than the graph of the respective functions, and contains multiple sheets. We will explain this phenomenon by fine analytic continuation of the function over part of a Cantor-type set involved. This gives more information on the hull, and allows for weakening and effectiveness of the conditions in the original examples. |
| Document type | Article |
| Note | Special issue on the occasion of Jaap Korevaar’s 100-th birthday |
| Language | English |
| Published at | https://doi.org/10.1016/j.indag.2022.10.002 |
| Other links | https://www.scopus.com/pages/publications/85146987228 |
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Pluripolar hulls and fine holomorphy
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