The asymptotic distribution of zeros of minimal Blaschke products (Q1288880)

Let \(B\) be a Blaschke product of degree \(n\geq 1\) and \(B_n\) the set of all Blaschke products of degree \(n\) or less. Let \(W\) be a nonnegative continuous function on the open unit disc \(D\) and \(E\) a compact subset of \(D\). The authors study the asymptotic distribution, as \(n\to\infty\), of the zeros of the solutions to the extremal problem: \(\min\{\| BW^n\|_E;\;B\in B_n\}\) where \(\|\cdot \|_E\) is the sup norm over \(E\). They study it beyond Blaschke products and the unit disc.