Bulletin of the
Korean Mathematical Society BKMS

We prove that the intrinsic square functions including Lusin area integral and Littlewood-Paley $g^{\ast}_{\lambda}$-function as defined by Wilson, are bounded in a class of function spaces include weighted Morrey spaces. The corresponding commutators generated by $BMO$ functions are also considered.

Keywords: amalgams spaces, Morrey spaces, commutator, $g$-function of Littlewood-Paley, Lusin area function

MSC numbers: 42B25, 47B38, 47B47