Product isometry of generalized weighted composition operator on general weighted Hardy space

2021/07/06 by Gupta, Anuradha, Yadav, Geeta
#47B33 #47B37 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2107.02851

Abstract

We obtain necessary and sufficient conditions for the composition and weighted composition operator and product of composition operators to be isometry and unitary on H_E(ξ). With the help of counter example we also prove that the product of two non isometric composition operator and weighted composition operator can be isometry on H_E(ξ). We also completely characterize the boundedness of generalized weighted composition operators on H_E(ξ).

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