Boundedness and compactness of commutators for bilinear fractional integral operators on Morrey spaces (Q2036591)

The authors prove characterization properties for the boundedness of the commutators for bilinear fractional integral operators \(B_\alpha \) on Morrey spaces.\par Moreover, they obtain that if \(b\) is the space CMO, that is the closure in BMO of the space of \(C^\infty_c\) being BMO the well know John-Nirenberg class of functions having Bounded Mean Oscillation, then the commutators \([b,B_\alpha]\) are separately compact operators on Morrey spaces.\par Finally, a necessary condition for commutators \([b,B_\alpha]\) to be jointly compact on Morrey spaces is also given.