Speaker: Alex Stokolos, Georgia Southern University Title: On maximal operators associated to bases of some convex sets Abstract: It will be shown that a differentiation basis associated to a dilation and translation invariant basis of some multidimensional convex sets if differentiate integral of any functioin from L^\infty must differentiate integral of any function from L^p with some p<\infty. A quantitative version of the statement along with the relation to the Nagel-Stein-Wainger, Cordoba-Fefferman and Bateman theorems will be discussed. This is a joint result with Paul Hagelstein.