A class of sharp inequalities for polynomials, moments, and analytic functions

Hilbert Space Extremal Problems with Constraints

“…It is clear that w(0) < oo if w^eL 1 with equality holding only for scalar multiples of (1 -ZQ/)" 1 . Khavinson [8] has considered the problem of maximizing the linear functional where 0 < e k < 1. We first consider the H 2 case.…”