Weighted spaces of holomorphic functions on the quarter plane and strip

نویسندگان

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

doi
10.22075/ijnaa.2023.31376.4666
چکیده

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.