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Disjoint hypercyclic linear fractional composition operators
The first and the third authors are supported in part by MICINN and FEDER, Projects MTM2007-64222 and MTM2010-14909. The third author is also supported by Generalitat Valenciana, Project PROMETEO/2008/101. We thank the referees for their comments and suggestions.
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Adjoints of linear fractional composition operators on the Dirichlet space
Let \(T\) be an open unit disc on the complex plane and \(\mathcal{D}\) the Dirichlet space of functions analytic on \(T\) equipped with the norm defined by \[ \| f\| ^2=| f(0)| ^2+\int\limits_T| f^\prime(z)| ^2\,dA(z). \] The authors study the adjoints of the composition operators \(C_\varphi f= f\circ \varphi\) with a fractional linear function ...
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