Fredholm Weighted Composition Operators on Dirichlet Space

نویسنده

  • Liankuo Zhao
چکیده

Let H be a Hilbert space of analytic functions on the unit disk D. For an analytic function ψ on D, we can define the multiplication operator Mψ : f → ψf, f ∈ H. For an analytic selfmapping φ of D, the composition operator Cφ defined on H as Cφf f ◦ φ, f ∈ H. These operators are two classes of important operators in the study of operator theory in function spaces 1–3 . Furthermore, for ψ and φ, we define the weighted composition operator Cψ,φ on H as

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2012  شماره 

صفحات  -

تاریخ انتشار 2012