Weighted spaces of holomorphic functions on the quarter plane and strip

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.

کلیدواژه ها:

Weighted spaces‎ ، ‎holmorphic functions‎ ، ‎isomorphism of Banach spaces‎ ، ‎quarter plane‎ ، ‎strip