Mohammad Imam Utoyo, Toto Nusantara, Inna Kuswandari, Basuki Widodo
We establish the necessary and sufficient conditions for the boundedness of the fractional integral operator Kαn on weighted non-homogeneous generalized Morrey spaces. The measure function μ satisfies the growth condition of order s > 0, consequently the previous results on the same operator can be seen as a particular case of this study. © 2015 Pushpa Publishing House, Allahabad, India.
Department of Mathematics, Airlangga University, Campus C, Mulyorejo, Surabaya, 60115, Indonesia; Department of Mathematics, State University of Malang, Jl. Semarang 5 Malang, Malang, 65145, Indonesia; Department of Mathematics, ITS, Surabaya, 60111, Indonesia
