Boundedness of intrinsic square functions on generalized Morrey spaces.

We study the strong type and weak type estimates of intrinsic square functions including the Lusin area integral, Littlewood-Paley g-function and -function on the generalized Morrey spaces for , where Φ is a growth function on satisfying the doubling condition. The boundedness of commutators generated by functions and intrinsic square functions is also obtained. [ABSTRACT FROM AUTHOR]