Endpoint estimates for multilinear singular integral operators

Abstract

In this paper, we establish three kinds of endpoint estimates for a class of multilinear singular integral operators and obtain the boundedness of this kind of multilinear singular integral operators on the product of BMO spaces, product of LMO spaces, and product of λ-central BMO spaces, respectively. Moreover, as special cases, the corresponding results of multilinear Calderón–Zygmund operators can be deduced.

An Endpoint Weak-Type Estimate for Multilinear Calderón–Zygmund Operators

“…More recently, attention has been given to the study of multilinear Calderón-Zygmund operators (see [1,[3][4][5][6][7]9]). To describe the setting, let m be a positive integer.…”