学术报告（Sanghyuk Lee 12.21）

摘要：This talk concerns $L^p$ bounds on the strong spherical maximal functions that are multi-parametric maximal functions defined by averages over ellipsoids.  We obtain  $L^p$ bounds on those maximal operators for a certain nontrivial range of $p$. No such maximal bounds have been not known until recently. Our result

extends Stein and Bourgain’s celebrated spherical  maximal bounds to multi-parametric versions.