Disc formulas for the weighted Siciak-Zahariuta extremal function

Benedikt Steinar Magnusson; Ragnar Sigurdsson

Disc formulas for the weighted Siciak-Zahariuta extremal function

Complex Variables 2007-05-23 v1

Authors: Benedikt Steinar Magnusson , Ragnar Sigurdsson

Abstract

We prove a disc formula for the weighted Siciak-Zahariuta extremal function $V_{X,q}$ for an upper semicontinuous function $q$ on an open connected subset $X$ in $\C^n$ . This function is also known as the weighted Green function with logaritmic pole at infinity and weighted global extremal function.

Keywords

zeta functions special functions

Cite

@article{arxiv.math/0612851,
  title  = {Disc formulas for the weighted Siciak-Zahariuta extremal function},
  author = {Benedikt Steinar Magnusson and Ragnar Sigurdsson},
  journal= {arXiv preprint arXiv:math/0612851},
  year   = {2007}
}

Related papers

View all related →