We show that hulls of closed prime ideals in $H^\infty$ are ``small'': they are contained in the $k$-hulls of single points. Combined with our notion of $p$-parts, this will prove Alling's conjecture for a large class of prime ideals.
"Hulls of closed prime ideals in $H^\infty$." Illinois J. Math. 46 (2) 519 - 532, Summer 2002. https://doi.org/10.1215/ijm/1258136208