International Journal of Nonlinear Analysis and Applications

Weighted spaces of holomorphic functions on the quarter plane and strip

Document Type : Research Paper

Author

Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-15175, Sanandaj, Iran

Abstract

In this paper‎, ‎We investigate weighted spaces of holomorphic functions on some subsets of the complex plane such as the quarter plane and a strip in the upper half plane and we obtain isomorphic classification of these weighted spaces‎. ‎Also‎, ‎we characterize the boundedness of composition operators between weighted spaces of holomorphic functions on the quarter plane and strip‎. ‎At last, we study a special subspace of holomorphic functions on the quarter plane.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 5
May 2024
Pages 363-369
  • Receive Date: 21 August 2023
  • Accept Date: 17 October 2023