Majorants of meromophic functions with fixed poles A. BaranovAlexander BorichevV. Havin 30D5530D1546E2247A15Hardy spaceBlaschke productmodel subspaceentire functionmeromorphic functionHilbert transformadmissible majorant Let $B$ be a meromorphic Blaschke product in the upper half-plane with zeros $z_n$ and let $K_B = H^2 \ominus BH^2$ be the associated model subspace of the Hardy space $H^2$. A nonnegative function $w$ on the real line is said to be an admissible majorant for $K_B$ if there is a non-zero function $f \in K_B$ such that $|f| \le w$ a.e. on $\mathbb{R}$. We study the relations between the distribution of the zeros of a Blaschke product $B$ and the class of admissible majorants for the space $K_B$. Indiana University Mathematics Journal 2007 text pdf 10.1512/iumj.2007.56.3045 10.1512/iumj.2007.56.3045 en Indiana Univ. Math. J. 56 (2007) 1595 - 1628 state-of-the-art mathematics http://iumj.org/access/