Fractional integral operator and its commutator on generalized Morrey spaces associated with ball Banach function spaces.

In this paper, we study the boundedness for the fractional integral operator I α on generalized Morrey spaces associated with ball Banach function spaces. Moreover, the boundeness for the commutator of I α on these spaces is also established. Our main results extend various previous results on some concrete generalized Morrey spaces associated with ball Banach function spaces. [ABSTRACT FROM AUTHOR]