We establish the necessary and sufficient condition for the boundedness of the fractional integral operator I α in the non-homogeneous classic Morrey space. In addition, we also derive Olsen type inequalities involving I α. In this paper, we use the measure of order which more general than the previous studies. Consequently, the results of previous studies is a particular form of the results of this study.
|Number of pages
|International Journal of Mathematical Analysis
|Published - 2012
- Fractional integral operator
- Non-homogeneous classic morrey space
- Olsen inequality