Complex Interpolation of Certain Closed Subspaces of Generalized Morrey Spaces

Abstract

In this paper, we give a description about the first and second complex interpolation between $L^\infty$ and the generalized Morrey spaces. Our result can be viewed as a supplement of the complex interpolation of generalized Morrey spaces, discussed in [9]. We also give an explicit description of some closed subspaces of generalized Morrey spaces and their complex interpolation spaces.