2 problems

Let $f$ be a polynomial of degree $n$, and form double least squares by first taking optimal polynomial approximants to $1/f$ and then optimal polynomial approximants to the recipr…

Let $f$in the classical Dirichlet space $\mathcal{D}$ be outer, and let $Z(f)$ denote its boundary zero set. Suppose that $Z(f)$ has logarithmic capacity $0$. Brown and Shields con…