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

## TL;DR

This paper characterizes the solid hulls of weighted Banach spaces of analytic functions on the unit disc with exponential weights, providing explicit descriptions especially for rapidly decreasing weights.

## Contribution

It offers a detailed characterization and explicit representations of solid hulls in weighted $H^$ spaces with exponential weights, focusing on non-doubling, rapidly decreasing weights.

## Key findings

- Solid hulls characterized for non-doubling exponential weights
- Explicit descriptions obtained for natural exponential weights
- Advances understanding of structure of weighted Banach spaces

## 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.