Fractional integral operator on weighted non-homogeneous morrey spaces

Open

Mohammad Imam Utoyo, Toto Nusantara, Cicik Alfiniyah

2013 International Journal of Mathematical Analysis Vol. 7 Issue 61-64 Article Cited by 2

Abstract

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.

Affiliations

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