Composition operators on some holomorphic Banach function spaces

Authors

  • A. El-Sayed Ahmed
  • M.A. Bakhit

DOI:

https://doi.org/10.7146/math.scand.a-15098

Abstract

In this paper, we study composition operators on some Möbius invariant Banach function spaces like Bloch and $F(p,q,s)$ spaces. We give a Carleson measure characterization on $F(p,q,s)$ spaces, then we use this Carleson measure characterization of the compact compositions on $F(p,q,s)$ spaces to show that every compact composition operator on $F(p,q,s)$ spaces is compact on a Bloch space. Also, we give conditions to clarify when the converse holds.

Downloads

Published

2009-06-01

Issue

Vol. 104 No. 2 (2009)

Section

Articles

How to Cite

[1]
A. El-Sayed Ahmed and M. Bakhit, “Composition operators on some holomorphic Banach function spaces”, Math. Scand., vol. 104, no. 2, pp. 275–295, Jun. 2009, doi: 10.7146/math.scand.a-15098.