Boundedness of oscillatory integral operators and their commu- tators on weighted Morrey spaces

Abstract

Abstract. It is proved that both oscillatory integral operators and fractional oscillatory integral operators are bounded on weighted Morrey spaces. The corresponding commutators generated by BM O functions are also considered.

Boundedness of a Class of Oscillatory Singular Integral Operators and Their Commutators with Rough Kernel on Weighted Central Morrey Spaces

“…[15] proved the boundedness of singular integral operators with rough kernel and their commutators with symbol in λ-central BMO on the weighted λ-central Morrey spaces. Our result can be seen generalizations of both results in [15,25] in some sense.…”

“…In[25], Fu et al gave the boundedness of a class of oscillatory integral operators with standard Calderón-Zygmund kernel and their commutators with symbol in BMO on weighted Morrey spaces. Yu et al…”