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

2022/04/19 by Vinícius V. Fávaro, Fávaro, V. V., P. V. Hai +3 · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2204.09146

openalex publication_date 2022/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the bounded composition operators induced by linear fractional self-maps of the right half-plane ℂ₊ on the Hardy space H²(ℂ₊). We completely characterize which of these operators are cohyponormal and we find conjugations for the linear fractional composition operators that are complex symmetric.

Cited by

• Dynamics for affine composition operators on weighted Bergman space of a half plane

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