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A note on the complex symmetric weighted composition operators over Hardy space (1804.00296v2)
Published 1 Apr 2018 in math.FA
Abstract: This paper provides a class of complex symmetric weighted composition operators on $H2(\mathbb{D})$ 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. \end{abstract}