Mohammad Imam Utoyo, Toto Nusantara, Cicik Alfiniyah
We establish the necessary and sufficient condition for the boundedness of the fractional integral operator Kαn on weighted non-homogeneous Morrey spaces. Measure which satisfies the growth condition of order ≥ 0 is used, consequently the previous results on the same operator can be seen as a particular case of this study. ©2013 Mohammad Imam Utoyo, Toto Nusantara and Cicik Alfiniyah.
Department of Mathematics, Airlangga University, Surabaya, 60115, Campus C, Mulyorejo, Indonesia; Department of Mathematics, State University of Malang, Malang 65145, Jl. Semarang 5 Malang, Indonesia