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

Abstract

We study weighted $H^{\infty }$ spaces of analytic functions on the open unit disc in the case of non-doubling weights, which decrease rapidly with respect to the boundary distance. We characterize the solid hulls of such spaces and give quite explicit representations of them in the case of the most natural exponentially decreasing weights.

11 pages