Multilinear Calderón-Zygmund theory: recent results
In this talk we plan to present some recent results concerning Multilinear Harmonic Analysis related to Multilinear Calderón-Zygmund Singular Integrals. We will show that these operators are controlled by an appropriate new multilinear maximal function. This maximal function allows to build the appropriate multilinear $A_{\vec P}$ theory of weights for these operators. We will also consider commutators of these operators with B.M.O. functions and show the sharp multilinear end-point estimate of $LlogL$ type.