On general multilinear square function with non-smooth kernels

Multiple Weighted Norm Inequalities for Maximal Multilinear Singular Integrals with Non-Smooth Kernels

Weighted norm inequalities for maximal truncated operators of multilinear singular integrals with non-smooth kernels in the sense of Duong, Grafakos, and Yan are obtained; this class of operators extends the class of multilinear CalderónZygmund operators introduced by Coifman and Meyer and includes the higher order commutators of Calderón. The weighted norm inequalities obtained in this work ar...

Mean Oscillation and Boundedness of Multilinear Integral Operators with General Kernels

As the development of singular integral operators, their commutators and multilinear operators have been well studied (see [3]–[7], [18]–[20]). Let T be the Calderón-Zygmund singular integral operator and b ∈ BMO(R), a classical result of Coifman, Rochberg and Weiss (see [6]) stated that the commutator [b, T ](f) = T (bf)− bT (f) is bounded on L(R) for 1 < p <∞. The purpose of this paper is to ...

Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels

In this paper, the authors establish the sharp maximal estimates for the multilinear iterated commutators generated by [Formula: see text] functions and multilinear singular integral operators with generalized kernels. As applications, the boundedness of this kind of multilinear iterated commutators on the product of weighted Lebesgue spaces and the product of variable exponent Lebesgue spaces ...

Multilinear Local Tb Theorem for Square Functions

In the present work we extend a local Tb theorem for square functions of Christ [3] and Hofmann [17] to the multilinear setting. We also present a new BM O type interpolation result for square functions associated to multilinear operators. These square function bounds are applied to prove a multilinear local Tb theorem for singular integral operators.

On General Lips hitzian Kernels