A new class of composition operators

S. Pattanayak, C. K. Mohapatra and A. K. Mishra

International Journal of Mathematics and Mathematical Sciences, 1987, vol. 10, 1-10

Abstract:

A new class of composition operators P ϕ : H 2 ( T ) → H 2 ( T ) , with ϕ : T → D ¯ is introduced. Sufficient conditions on ϕ for P ϕ to be bounded and Hilbert-Schmidt are obtained. Properties of P ϕ with ϕ ( e i t ) = a e i t + b e − i t for different values of the parameters a and b have been investigated. This paper concludes with a discussion on the compactness of P ϕ .

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:601251

DOI: 10.1155/S0161171287000553

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