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Authors: .
We study the action of the composition operator on the analytic function spaces whose kernels are special cases of Laguerre polynomials. 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.
Mathematics Subject Classification (2010): 30E20, 30D99, 47B33, 33C45.
Keywords: Exponential Cauchy transform, Convex space, composition operators, Laguerre polynomials.
