On some maximal multilinear operators
Analysis and Geometry Seminar
7th March 2019, 3:15 pm – 4:15 pm
Howard House, 4th Floor Seminar Room
We study a certain type of maximal multilinear operators, motivated by a multilinear Coifman--Fefferman-type inequality. The classical result of Coifman and Fefferman states that the Hardy--Littlewood maximal operator dominates singular integrals in all L^p norms. Similarly, multilinear operators given by symbols singular along higher-dimensional subspaces are going to be controlled in norm by multilinear equivalents of the Hardy--Littlewood maximal function. Weighted and vector-valued estimates will be discussed.