Composition operators in hyperbolic general Besov-type spaces

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DOI:

https://doi.org/10.4067/S0719-06462013000300003

Abstract

In this paper we introduce natural metrics in the hyperbolic α-Bloch and hyperbolic general Besov-type classes F∗(p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, compact composition operators Cφ acting from the hyperbolic α-Bloch class to the class F∗(p, q, s) are characterized by conditions depending on an analytic self-map φ : D → D.

Keywords

Hyperbolic classes , composition operators , Lipschitz continuous , α-Bloch space , F∗(p, q, s) class
  • A. El-Sayed Ahmed Taif University, Faculty of Science, Mathematics, Department, box 888 El-Hawiyah, El-Taif 5700, Saudi Arabia.
  • M. A. Bakhit Department of Mathematics, Faculty of Science, Assiut Branch, Al-Azhar University, Assiut 32861, Egypt.
  • Pages: 19–30
  • Date Published: 2013-10-01
  • Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal

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Published

2013-10-01

How to Cite

[1]
A. El-Sayed Ahmed and M. A. Bakhit, “Composition operators in hyperbolic general Besov-type spaces”, CUBO, vol. 15, no. 3, pp. 19–30, Oct. 2013.

Issue

Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal

Section

Articles