A note on the complex symmetric weighted composition operators over Hardy space

2018/04/01 by Cao Jiang, Jiang, Cao, Shi-An Han +3
Mathematics · #47B33 #47B38 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1804.00296

openalex publication_date 2018/04/01 · openalex created_date 2019/01/01 · openalex updated_date 2026/07/28

Abstract

This paper provides a class of complex symmetric weighted composition operators on H²(\mathbbD) to includes the unitary subclass, the Hermitian subclass and the normal subclass obtained by Bourdon and Noor. A characterization of algebraic weighted composition operator with degree no more than two is provided to illustrate that the weight function of a complex symmetric weighted composition operator is not necessarily linear fractional. \endabstract

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