Estimates of Intrinsic Square Functions on Generalized Weighted Morrey Spaces

摘要

We prove the boundedness of the intrinsic functions on generalized weighted Morrey spaces M-p,M-phi(w), including the strong type estimates and weak type estimates. Moreover, we define the kth-order commutators generated by BMO (R-n) functions and intrinsic functions, and obtain their strong type estimates on M-p,M-phi(w). In some cases, we improve previous results.