39 citations · 42 across the 4 of their papers we have counts for
5 papers
Composition operators on generalized Hardy spaces
Sam Elliott, Juliette Leblond, Elodie Pozzi +1
Let be bounded domains. Let holomorphic in and belonging to . We study the composition operators…
Similarity to an isometry of composition operators on the half-plane
Sam Elliott
Necessary and sufficient conditions are already known in the Hardy spaces of both the disc and the half plane for a composition operator to be an isometry, by Nordgren in the disc…
Composition operators on weighted Bergman spaces of a half plane
Sam Elliott, Andrew Wynn
We use induction and interpolation techniques to prove that a composition operator induced by a map is bounded on the weighted Bergman space $\A^2_α(\mathbb{H})$ of the right h…
Composition operators on Hardy spaces of a half plane
Sam Elliott, Michael T. Jury
We prove that a composition operator is bounded on the Hardy space of the right half-plane if and only if the inducing map fixes the point at infinity non-tangentially, and h…
Adjoints of Composition Operators on Hardy Spaces of the Half-Plane
Sam Elliott
Building on techniques used in the case of the disc, we use a variety of methods to develop formulae for the adjoints of composition operators on Hardy spaces of the upper half-pla…