A note on weighted homogeneous Siciak-Zaharyuta extremal functions

作者：Drnovsek Barbara Drinovec^*; Sigurdsson Ragnar

来源：Indagationes Mathematicae, 2016, 27(1): 94-99.

DOI：10.1016/j.indag.2015.08.001

• Siciak's homogeneous extremal function
• Disc functional
• Envelope of a disc functional

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

• 出版日期2016-1