Publication: A generalization of the Aleksandrov operator and adjoints of weighted composition operators
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2013
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Association des Annales de l'Institut Fourier
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Abstract
A generalization of the Aleksandrov operator is provided, in order to represent the adjoint of a weighted composition operator on H-2 by means of an integral with respect to a measure. In particular, we show the existence of a family of measures which represents the adjoint of a weighted composition operator under fairly mild assumptions, and we discuss not only uniqueness but also the generalization of Aleksandrov-Clark measures which corresponds to the unweighted case, that is, to the adjoint of composition operators.