Abstract
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.
Original language | English |
---|---|
Pages (from-to) | 1501-1511 |
Number of pages | 11 |
Journal | International Journal of Mathematical Analysis |
Volume | 6 |
Issue number | 29-32 |
Publication status | Published - 2012 |
Keywords
- Fractional integral operator
- Non-homogeneous classic morrey space
- Olsen inequality