Mohammad Imam Utoyo, Toto Nusantara, Cicik Alfiniyah
We establish the necessary and sufficient condition for the boundedness of the fractional integral operator Knα in weighted non-homogeneous Morrey spaces. Our results can be viewed Adams-type inequality for non-homogeneous quasimetric space. Measure which satisfies the growth condition of order s > 0 is used, consequently the previous results on the same operator can be seen as a particular case of this study. Furthermore, we also obtain Olsen-type inequality involving Knα. © 2014 Mohammad Imam Utoyo, Toto Nusantara and Cicik Alfiniyah.
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
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