Balakumar, GP and Borah, D and Mahajan, P and Verma, K (2019) Remarks on the higher dimensional suita conjecture. In: Proceedings of the American Mathematical Society, 147 (8). pp. 3401-3411.
Full text not available from this repository.Abstract
To study the analog of Suita'fs conjecture for domains ⊂Cn, n ≥ 2, Blocki introduced the invariant Fκ D (z) = KD(z)λIκ D(z), where KD (z) is the Bergman kernel of D along the diagonal and λIκ D(z) is the Lebesgue measure of the Kobayashi indicatrix at the point z. In this note, we study the behaviour of Fκ D (z) (and other similar invariants using different metrics) on strongly pseudconvex domains and also compute its limiting behaviour explicitly at certain points of decoupled egg domains in C2.
| Item Type: | Journal Article |
|---|---|
| Publication: | Proceedings of the American Mathematical Society |
| Publisher: | American Mathematical Society |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Bergman Kernel; Kobayashi Indicatrix; Suita Conjecture |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 20 Oct 2022 11:59 |
| Last Modified: | 20 Oct 2022 11:59 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77477 |
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