Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 19, No. 1, pp. 55-60 (2003)

Adjoints of composition operators on standard Bergman and Dirichlet spaces on the unit disk

Carlos C. Pena

Universidad Nacional del Centro de la Provincia de Buenos Aires, Argentina

Abstract: It is not known a satisfactory way to compute adjoints of composition operators, yet in classical functional Banach spaces. In this article we establish some formulae in order to evaluate adjoints of composition operators on standard Bergman and Dirichlet spaces.

Keywords: Functional Banach space. Composition operator. Reproducing kernels.

Classification (MSC2000): 47B38

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