Maitra, A (2020) A form of Schwarz's lemma and a bound for the Kobayashi metric on convex domains. In: Journal of Mathematical Analysis and Applications, 484 (1).
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Official URL: https://dx.doi.org/10.1016/j.jmaa.2019.123694
Abstract
We present a form of Schwarz's lemma for holomorphic maps between convex domains D1 and D2. This result provides a lower bound on the distance between the images of relatively compact subsets of D1 and the boundary of D2. This is a natural improvement of an old estimate by Bernal-González that takes into account the geometry of �D1. Using similar techniques, we also provide a new estimate for the Kobayashi metric on bounded convex domains.
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of Mathematical Analysis and Applications |
| Publisher: | Elsevier |
| Additional Information: | The copyright of this article belongs to Elsevier |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 09 Mar 2020 10:59 |
| Last Modified: | 09 Mar 2020 10:59 |
| URI: | http://eprints.iisc.ac.in/id/eprint/64789 |
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