Intrinsic square functions on the weighted Morrey spaces

In this paper, we will study the boundedness properties of intrinsic square functions including the Lusin area integral, Littlewood–Paley g -function and g λ ∗ -function on the weighted Morrey spaces L p , κ ( w ) for 1 < p < ∞ and 0 < κ < 1 . The corresponding commutators generated by B M O ( R n ) functions and intrinsic square functions are also discussed.