A remark on boundedness of composition operators between weighted spaces of holomorphic functions on the upper half-plane

Document Type : Research Paper

Author

Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-175 Sanandaj, Iran.

Abstract

In this paper, we obtain a sufficient condition for boundedness of composition operators between weighted spaces of holomorphic functions on the upper half-plane whenever our weights are standard analytic weights, but they don't necessarily satisfy any growth condition.

Keywords

  • Receive Date: 25 April 2012
  • Revise Date: 25 September 2012
  • Accept Date: 25 September 2012
  • First Publish Date: 01 June 2013