Weighted Estimates for Multilinear Strongly Singular Calderón-Zygmund Operators with Multiple Weights

Abstract

In this paper, the authors establish the weighted boundedness properties for the multilinear strongly singular Calder´on-Zygmund operators, their multilinear commutators and multilinear iterated commutators through sharp maximal estimates, respectively. The weight involved is the multiple weight.

Key words and phrases. multilinear strongly singular Calder´on-Zygmund operator, multilinear commutator, multilinear iterated commutator, sharp maximal function, multiple weight.

2000 Mathematics Subject Classification. 42B25; 42B35