Extremal growth of polynomials

Len Bos, Sione Ma'u and Shayne Waldron


Abstract:

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


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