@article{3cad4e85570e448db418b071a3513983,
title = "Complex symmetric comosition operators on weighted Hardy spaces",
abstract = "Let ϕ be an analytic self-map of the open unit disk D. We study the complex symmetry of composition operators Cϕ on weighted Hardy spaces induced by a bounded sequence. For any analytic self-map of D that is not an elliptic automorphism, we establish that if Cϕ is complex symmetric, then either ϕ(0) = 0 or ϕ is linear. In the case of weighted Bergman spaces A2 α, we find the non-automorphic linear fractional symbols ϕ such that Cϕ is complex symmetric.",
author = "Maria Tjani and Narayan, {Sivaram Krishnan} and Daniel Sievewright",
note = "Funding Information: The first author thanks Central Michigan University for its support during his Fall 2016 sabbatical leave and the University of Arkansas for the hospitality extended during his sabbatical visit. We thank the referee for comments that improved the quality of the paper. Publisher Copyright: {\textcopyright} 2020 American Mathematical Society.",
year = "2020",
language = "English",
volume = "148",
pages = "2117--2127",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY",
number = "5",
}