Solid hulls of weighted Banach spaces of analytic functions on the unit disc with exponential weights

Abstract

Let v(r) = exp(-a/(1 - r)b) with a > 0 and 0 < b ≤ 2 be an exponential weight on the unit disc. We study the solid hull of its associated weighted Banach space Hv∞ (D) of all the analytic functions f on the unit disc such that v|f| is bounded.