Multilinear Strongly Singular Calderón-Zygmund Operators and Commutators on Morrey Type Spaces

Abstract

In this paper, the authors establish the boundedness of multilinear strongly singular Calder´on-Zygmund operators and their multilinear commutators with BMO functions or Lipschitz functions on the product of generalized Morrey spaces and weighted Morrey spaces, respectively. Moreover, the boundedness of the multilinear iterated commutators generated by the multilinear strongly singular Calderon-Zygmund operators and BMO functions on the product of generalized Morrey spaces and weighted Morrey spaces is also obtained, respectively.

Key words and phrases. multilinear strongly singular Calder´on-Zygmund operator, multilinear commutator, BMO function, Lipschitz function, Morrey space.

2000 Mathematics Subject Classification. 42B20, 42B35