Alexander Volberg, Michigan State University, Multi-parameter Poincaré inequality, multi-parameter Carleson embedding: Box condition versus Chang–Fefferman condition.
ZoomCarleson embedding theorem is a building block for many singular integral operators and the main instrument in proving ``Leibniz rule" for fractional derivatives (Kato--Ponce, Kenig). It is also an essential step in all known ``corona theorems’’. Multi-parameter embedding is a tool to prove more complicated Leibniz rules that are also widely used in well-posedness questions…