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arXiv · 2204.09146

Complex symmetry of linear fractional composition operators on a half-plane

V. V. Fávaro·P. V. Hai·O. R. Severiano
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Abstract

We investigate the bounded composition operators induced by linear fractional self-maps of the right half-plane $\mathbb{C}_+$ on the Hardy space $H^2(\mathbb{C}_+).$ We completely characterize which of these operators are cohyponormal and we find conjugations for the linear fractional composition operators that are complex symmetric.

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V. V. Fávaro, P. V. Hai, O. R. Severiano. 2022-04-19. Complex symmetry of linear fractional composition operators on a half-plane. https://doi.org/10.1007/s00574-023-00357-5

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