Compactness of Commutators of Integral Operators with Functions in Campanato Spaces on Orlicz-Morrey Spaces

We consider the commutators [b, T] and [b, I-rho], where T is a Calderon-Zygmund operator, I-rho is a generalized fractional integral operator and b is a function in the closure of C-comp(infinity) (R-n) with respect to generalized Campanato spaces. We give a necessary and com sufficient condition for the compactness of [b, T] and [b, I-rho] on Orlicz-Morrey spaces. The Orlicz-Morrey spaces unify Orlicz and Morrey spaces, and the Campanato spaces unify BMO and Lipschitz spaces. Therefore, our results contain many previous results as corollaries.