an:01245431
Zbl 1050.31002
Kuijlaars, A. B. J.; Dragnev, P. D.
Equilibrium problems associated with fast decreasing polynomials
EN
Proc. Am. Math. Soc. 127, No. 4, 1065-1074 (1999).
00054319
1999
j
31A15 30C10
Equilibrium measures; extremal support; balayage; fast decreasing polynomials
Summary: The determination of the support of the equilibrium measure in the presence of an external field is important in the theory of weighted polynomials on the real line. Here we present a general condition guaranteeing that the support consists of at most two intervals. Applying this to the external fields associated with fast decreasing polynomials, we extend previous results of Totik and Kuijlaars-Van Assche. In the proof we use the iterated balayage algorithm which was first studied by Dragnev.