Complex Symmetry and Normality of Toeplitz Composition Operators on the Hardy space

Anuradha Gupta, Aastha Malhotra

Abstract


In this paper, we investigate the conditions under which the Toeplitz Composition operator on the Hardy space $\mathcal{H}^2$ becomes complex symmetric with respect to a certain conjugation. We also study various normality conditions for the Toeplitz Composition operator on $\mathcal{H}^2$.

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