Zakharyuta, Vyacheslav (2018) Spaces of analytic functions on essentially pluripolar compacta. Functiones et Approximatio, Commentarii Mathematici, 59 (1). pp. 141-152. ISSN 0208-6573 (Print) 2080-9433 (Online)
Full text not available from this repository. (Request a copy)
Official URL: https://dx.doi.org/10.7169/facm/1729
Abstract
LetA (K) be the locally convex space of all analytic germs on a compact subset K of a Stein manifold Ω, dim Ω = n, endowed with the standard inductive topogy, let 0n denote the origin of Cn, The main result is the characterisation of the isomorphism A (K) ≃ A ({0n}) in terms of pluripotential theory. It is based on the general result of Aytuna-Krone-Terzioğlu on the characterisation of power series spaces of infinite type in terms of interpolational invariants (DN) and (Ω).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Complete pluripolarity; Interpolation invariants; Spaces of analytic functions |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Vyacheslav Zakharyuta |
| Date Deposited: | 26 Jul 2023 10:04 |
| Last Modified: | 26 Jul 2023 10:04 |
| URI: | https://research.sabanciuniv.edu/id/eprint/46280 |
Actions (login required)
- View Item