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Compact composition operators on spaces of exponential Cauchy kernels
Yusuf Abu Muhanna
,
El-Bachir Yallaoui
Abstract
We study the action of the composition operator on the analytic function spaces whose kernels are of exponential Cauchy type. These function spaces become Banach spaces when the kernels are integrated with respect to the complex Borel measures of the unit circle. Necessary and sufficient conditions for the composition operator to be compact are found.