Fractional Integral Operators and Olsen Inequalities on
Fractional Integral Operators and Olsen Inequalities on Non-Homogeneous Spaces
Idha Sihwaningrum, Herry P. Suryawan, Hendra Gunawan
Analysis and Geometry Group,
Faculty of Mathematics and Natural Sciences,
Bandung Institute of Technology, Bandung 40132,
We prove the boundedness of the fractional integral operator Iα on generalized Morrey spaces of non-homogeneous type. In addition, we also present Olsen-type inequalities for a multiplication operator involving Iα. Our proof uses a result of García-Cuerva and Martell .
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