Complex symmetric composition operators

2013/07/14 by S. Waleed Noor, Noor, S. Waleed
Mathematics · #47B32 #47B99 #Algebraic and Geometric Analysis #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary 47B33 #Secondary 47B35

paper · pdf · doi:10.48550/arxiv.1307.3758

openalex publication_date 2013/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let φ be a linear fractional self-map of the open unit disk \mathbbD and H² the Hardy space of analytic functions on \mathbbD. The goal of this article is to characterize the linear fractional composition operators C_φf=f∘φ on H² that are complex symmetric.

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