Resumen de Weighted estimates for the multilinear maximal operator

Adam Osekowski

• The paper contains the study of the weighted L^{p_1}\times L^{p_2}\times \ldots \times L^{p_m}\rightarrow L^p estimates for the multilinear maximal operator, in the context of abstract probability spaces equipped with a tree-like structure. Using the Bellman function method, we identify the associated optimal constants in the symmetric case p_1=p_2=\ldots =p_m , and a tight constant for remaining choices of exponents.