10.1186/2251-7456-6-14

Generalized composition operators on QK,ω (p,q) spaces

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  • Ahmed El-Sayed Ahmed1,
  • Alaa Kamal*2,
  1. Sohag University, Faculty of Science, Department of Mathematics, Sohag, 82524, EG Faculty of Science and Humanities, Department of Mathematics, Majmaah University, Majmaah, SA
  2. Faculty of Science, Mathematics Department, Taif University, El-Taif, 5700, SA Department of Mathematics, Port Said University, Faculty of Science, Port Said, 42521, EG

Published in Issue 2012-07-20

How to Cite

Ahmed, A. E.-S., & Kamal, A. (2012). Generalized composition operators on QK,ω (p,q) spaces. Mathematical Sciences, 6(1). https://doi.org/10.1186/2251-7456-6-14
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Abstract

Abstract Purpose Our aim in this paper is to study generalized composition operators on α - Bloch and Q K , ω ( p , q ) spaces. Methods By the help of generalized composition operators, we act between several classes of weighted function spaces. Some important results obtained by using modified Nevanlinna counting function. Results The boundedness and compactness of the generalized composition operator Cϕg acting between two different Möbius invariant spaces QK1(p,q) and QK2(p,q) are studied. Conclusions Our results in this paper extend, generalize and improve a lot of previous results.

Keywords

  • QK,ω(p,q) spaces,
  • Holomorphic functions,
  • and Weighted Bloch space
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