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arXiv · 1501.07736

A note on weighted homogeneous Siciak-Zaharyuta extremal functions

Barbara Drinovec Drnovsek·Ragnar Sigurdsson
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Abstract

We prove that for any given upper semicontinuous function $\varphi$ on an open subset $E$ of $\mathbb C^n\setminus\{0\}$, such that the complex cone generated by $E$ minus the origin is connected, the homogeneous Siciak-Zaharyuta function with the weight $\varphi$ on $E$, can be represented as an envelope of a disc functional.

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Barbara Drinovec Drnovsek, Ragnar Sigurdsson. 2015-01-30. A note on weighted homogeneous Siciak-Zaharyuta extremal functions. https://doi.org/10.1016/j.indag.2015.08.001

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