ABSTRACT
One of the important aspects in the interpolation theory is that the interpolation method is a tool to obtain the boundedness of operators. The complex interpolation method is a method to create a Banach space H(X0,X1) based on complex analysis. In this chapter, the authors show that the intersection space is dense in the first complex interpolation spaces. They aim to investigate the relation between the first and the second interpolation functors. The theory of complex interpolation of Morrey spaces went to a new stage by the discovery of Lemarie-Rieusset. The authors consider complex interpolation of closed subspaces of generalized Morrey spaces, where the lack of the Fatou property plays a key role. They also consider complex interpolation of generalized Morrey spaces.
