Please use this identifier to cite or link to this item: http://hdl.handle.net/10662/8998
Title: Adjoints of generalized composition operators with linear fractional symbol
Authors: Salaryan, Aliakbar
Vaezi, Hamid
Keywords: Generalized composition operator;Adjoint;Weighted Hardy space;Operador de composición generalizada;Adjunto;Espacio ponderado de Hardy
Issue Date: 2016
Publisher: Universidad de Extremadura
Abstract: Given a positive integer n and φ : U→ U, an analytic self-map of the open unit disc in the complex plane, the generalized composition operator C_φ^((n))is defined by C_φ^((n))f= f^((n) )o φ for f belonging to some Hilbert space of analytic functions on U. In this paper, we investigate some properties of generalized composition operators on the weighted Hardy spaces. Then we obtain adjoints of generalized composition operators with linear fractional symbol acting on the Hardy, Bergman and Dirichlet spaces.
URI: http://hdl.handle.net/10662/8998
Appears in Collections:Extracta Mathematicae Vol. 31, nº 1 (2016)

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