Predual space and Calderón construction for grand weighted Morrey spaces, and some applications

We investigate duality and interpolation problems in two-weighted grand Morrey spaces. In particular, we discuss the predual space and Calderón construction for these spaces. Based on these and some known results, we establish complex interpolation for two-weighted grand Morrey spaces. The derived interpolation result enables us to show that the boundedness of a linear bounded operator in one-weighted Morrey space with Muckenhoupt weight implies its boundedness in one-weighted grand Morrey space with the same weight.