Conjugations and complex symmetric block Toeplitz operators on the weighted Hardy space

Abstract

In this paper, we study block conjugations on the weighted Hardy space Hρ(Cn). Using these conjugations, we investigate the complex symmetry of a block Toeplitz operator on the weighted Hardy space Hρ(Cn). From the main results, we provide several applications for such operators. © 2021, The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid.