Asymptotics of Chebyshev Polynomials, III. Sets Saturating SzegŐ, Schiefermayr, and Totik--Widom Bounds

Abstract

We determine which sets saturate the Szeg}o and Schiefermayr lower bounds on the norms of Chebyshev Polynomials. We also discuss sets that saturate the Totik--Widom upper bound.

Intended for the book "Analysis as a Tool in Mathematical Physics: in Memory of Boris Pavlov" to be published by Birkhäuser in the series Operator Theory: Advances and Applications