A note on weighted homogeneous Siciak-Zaharyuta extremal functions
Complex Variables
2016-01-06 v1
Abstract
We prove that for any given upper semicontinuous function on an open subset of , such that the complex cone generated by minus the origin is connected, the homogeneous Siciak-Zaharyuta function with the weight on , can be represented as an envelope of a disc functional.
Keywords
Cite
@article{arxiv.1501.07736,
title = {A note on weighted homogeneous Siciak-Zaharyuta extremal functions},
author = {Barbara Drinovec Drnovsek and Ragnar Sigurdsson},
journal= {arXiv preprint arXiv:1501.07736},
year = {2016}
}