Extremal growth of polynomials

Len Bos, Sione Ma'u and Shayne Waldron


We give an exposition of some simple but applicable cases of worst- case growth of a polynomial in terms of its uniform norm on a given compact set K ⊂ C^d. Included is a direct verification of the formula for the pluripotential extremal function for a real simplex.

Keywords: Pluripotential theory,

Math Review Classification: Primary Secondary

Length: 26 pages

Last Updated: 29 August 2019