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Product isometry of generalized weighted composition operator on general weighted Hardy space (2107.02851v2)
Published 6 Jul 2021 in math.FA
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 $H_{E}(\xi).$ 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 $H_{E}(\xi)$. We also completely characterize the boundedness of generalized weighted composition operators on $H_{E}(\xi).$