Strongly singular Calderón-Zygmund operators and commutators on weighted Morrey spaces

摘要

In this paper, the authors establish the boundedness of the strongly singular Calderón-Zygmund operator on weighted Morrey spaces. Moreover, the boundedness of the commutator generated by the strongly singular Calderón-Zygmund operator and the weighted BMO function on weighted Morrey spaces is also obtained. MSC:42B20, 42B25, 42B35.