Generalized Composition Operators Between Weighted Dirichlet Type Spaces and Bloch Type Spaces

Authors

  • Shayesteh Rezaei
  • Hakimeh Mahyar

Keywords:

Bloch type space, weighted Dirichlet type space, generalized composition operator, weighted composition operator, Volterra type operator.

Abstract

We characterize bounded and compact generalized composition operators between Bloch type spaces and weighted Dirichlet type spaces. Then, we show that these results can be employed to characterize bounded and compact Volterra type operators between these spaces. Finally, we give a connection between weighted and generalized composition operators to conclude some results about boundedness and compactness of them.

Author Biographies

Shayesteh Rezaei

Department of Mathematics Assistant Professor of Mathematics Aligudarz Branch, Islamic Azad University Aligudarz, Iran

Hakimeh Mahyar

Department of Mathematics Professor of Mathematics Kharazmi University Tehran, Iran

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Published

2012-06-01

Issue

Vol. 6

Section

Vol. 6, No. 1, (2012)

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