%0 Journal Article
%T Adjoints of linear fractional composition operators on weighted Hardy spaces
%A Zeljko Cuckovic
%A Trieu Le
%J Mathematics
%D 2015
%I arXiv
%X It is well known that on the Hardy space $H^2(\mathbb{D})$ or weighted Bergman space $A^2_{\alpha}(\mathbb{D})$ over the unit disk, the adjoint of a linear fractional composition operator equals the product of a composition operator and two Toeplitz operators. On $S^2(\mathbb{D})$, the space of analytic functions on the disk whose first derivatives belong to $H^2(\mathbb{D})$, Heller showed that a similar formula holds modulo the ideal of compact operators. In this paper we investigate what the situation is like on other weighted Hardy spaces.
%U http://arxiv.org/abs/1509.01510v1