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arXiv · 1711.10422

Extensions of bounded holomorphic functions on the tridisk

Lukasz Kosinski·John McCarthy
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Abstract

We study sets $V$ in the tridisc that are relatively polynomially convex and have the polynomial extension property. If $V$ is one-dimensional, and is either algebraic, or has polynomially convex projections, we show that it is a retract. If $V$ is two-dimensional, we show that either it is a retract, or, for any choice of the coordinate functions, it is the graph of a function of two variables.

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Lukasz Kosinski, John McCarthy. 2017-11-28. Extensions of bounded holomorphic functions on the tridisk. https://arxiv.org/abs/1711.10422

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