%X In this paper, we shall discuss some properties of generalized non-homogeneous Morrey spaces. In addition, we will also prove the Olsen inequality in the non-homogeneous setting. Our proof utilizes the result of (GarcĂ­a-Cuerva and Martell, 2001) on the boundedness of the fractional integral operator on Lebesgue spaces of non-homogeneous type. %A . I. Sihwaningrum %A . H. Gunawan %A . Y. Soeharyadi %A . W. S. Budhi %L UNY6844 %D 2008 %T Generalized Non-Homogeneous Morrey Spaces And Olsen Inequality %J PROSIDING SEMINAR NASIONAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA %I Jurusan Pendidikan Matematika Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Yogyakarta