We establish the necessary and sufficient condition for the boundedness of the fractional integral operator I α in weighted classic Morrey space and in weighted generalized Morrey space on nonhomogeneous quasimetric space. Proving our results is created by using the boundedness of fractional integral operator in weighted Lebesgue spaces. Furthermore, we also derive Olsen-type inequalities involving I α.
|Number of pages||18|
|Journal||Far East Journal of Mathematical Sciences|
|Publication status||Published - Jul 2012|
- Fractional integral operator
- Nonhomogeneous space
- Olsen inequality
- Weighted Morrey space