INTRINSIC SQUARE FUNCTIONS ON FUNCTIONS SPACES INCLUDING WEIGHTED MORREY SPACES
INTRINSIC SQUARE FUNCTIONS ON FUNCTIONS SPACES INCLUDING WEIGHTED MORREY SPACES
We prove that the intrinsic square functions including Lusin area integral and Littlewood-Paley <TEX>$g^*_{\lambda}$</TEX>-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.