The 3-Point Spectral Pick Interpolation Problem and an Application to Holomorphic Correspondences

Chandel, VS (2020) The 3-Point Spectral Pick Interpolation Problem and an Application to Holomorphic Correspondences. In: Journal of Geometric Analysis, 30 (1). pp. 551-572.

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Abstract

We provide a necessary condition for the existence of a 3-point holomorphic interpolant F: D� Ω n, n� 2. Our condition is inequivalent to the necessary conditions hitherto known for this problem. The condition generically involves a single inequality and is reminiscent of the Schwarz lemma. We combine some of the ideas and techniques used in our result on the O(D,Ωn)-interpolation problem to establish a Schwarz lemma�which may be of independent interest�for holomorphic correspondences from D to a general planar domain

Item Type:	Journal Article
Publication:	Journal of Geometric Analysis
Publisher:	Springer
Additional Information:	Copyright for this article belongs to Springer
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	19 Jun 2020 10:21
Last Modified:	19 Jun 2020 10:21
URI:	http://eprints.iisc.ac.in/id/eprint/64595

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