English

Complex Symmetric Composition Operators on $H^2$

Complex Variables 2017-05-17 v1 Functional Analysis

Abstract

In this paper, we find complex symmetric composition operators on the classical Hardy space whose symbols are linear-fractional but not automorphic. In doing so, we answer a recent question of Noor, and partially answer the original problem posed by Garcia and Hammond.

Keywords

Cite

@article{arxiv.1602.04217,
  title  = {Complex Symmetric Composition Operators on $H^2$},
  author = {Sivaram K. Narayan and Daniel Sievewright and Derek Thompson},
  journal= {arXiv preprint arXiv:1602.04217},
  year   = {2017}
}

Comments

8 pages

R2 v1 2026-06-22T12:49:22.524Z